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28444640 = 2557109233
BaseRepresentation
bin110110010000…
…0011111100000
31222112010201012
41230200133200
524240212030
62453400052
7463526660
oct154403740
958463635
1028444640
1115068974
129639028
135b7c063
143ac61a0
15276d095
hex1b207e0

28444640 has 96 divisors (see below), whose sum is σ = 77837760. Its totient is φ = 9621504.

The previous prime is 28444597. The next prime is 28444657. The reversal of 28444640 is 4644482.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 28444597 and 28444606.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121964 + ... + 122196.

It is an arithmetic number, because the mean of its divisors is an integer number (810810).

Almost surely, 228444640 is an apocalyptic number.

28444640 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 28444640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38918880).

28444640 is an abundant number, since it is smaller than the sum of its proper divisors (49393120).

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

28444640 is a wasteful number, since it uses less digits than its factorization.

28444640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

The square root of 28444640 is about 5333.3516666352. The cubic root of 28444640 is about 305.2578308935.

The spelling of 28444640 in words is "twenty-eight million, four hundred forty-four thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 109 112 140 160 218 224 233 280 436 466 545 560 763 872 932 1090 1120 1165 1526 1631 1744 1864 2180 2330 3052 3262 3488 3728 3815 4360 4660 6104 6524 7456 7630 8155 8720 9320 12208 13048 15260 16310 17440 18640 24416 25397 26096 30520 32620 37280 50794 52192 61040 65240 101588 122080 126985 130480 177779 203176 253970 260960 355558 406352 507940 711116 812704 888895 1015880 1422232 1777790 2031760 2844464 3555580 4063520 5688928 7111160 14222320 28444640