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28297440 = 2532543457
BaseRepresentation
bin110101111110…
…0100011100000
31222020122210100
41223330203200
524221004230
62450302400
7462344553
oct153744340
958218710
1028297440
1114a78316
129587a00
135b2a062
143a8869a
15273e660
hex1afc8e0

28297440 has 144 divisors (see below), whose sum is σ = 99026928. Its totient is φ = 7354368.

The previous prime is 28297433. The next prime is 28297463. The reversal of 28297440 is 4479282.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×282974402 = 1601490221107200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 28297395 and 28297404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61692 + ... + 62148.

It is an arithmetic number, because the mean of its divisors is an integer number (687687).

Almost surely, 228297440 is an apocalyptic number.

28297440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28297440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49513464).

28297440 is an abundant number, since it is smaller than the sum of its proper divisors (70729488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28297440 is a wasteful number, since it uses less digits than its factorization.

28297440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 28297440 is about 5319.5338141608. The cubic root of 28297440 is about 304.7303538146.

The spelling of 28297440 in words is "twenty-eight million, two hundred ninety-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 43 45 48 60 72 80 86 90 96 120 129 144 160 172 180 215 240 258 288 344 360 387 430 457 480 516 645 688 720 774 860 914 1032 1290 1371 1376 1440 1548 1720 1828 1935 2064 2285 2580 2742 3096 3440 3656 3870 4113 4128 4570 5160 5484 6192 6855 6880 7312 7740 8226 9140 10320 10968 12384 13710 14624 15480 16452 18280 19651 20565 20640 21936 27420 30960 32904 36560 39302 41130 43872 54840 58953 61920 65808 73120 78604 82260 98255 109680 117906 131616 157208 164520 176859 196510 219360 235812 294765 314416 329040 353718 393020 471624 589530 628832 658080 707436 786040 884295 943248 1179060 1414872 1572080 1768590 1886496 2358120 2829744 3144160 3537180 4716240 5659488 7074360 9432480 14148720 28297440