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28349520 = 2435196217
BaseRepresentation
bin110110000100…
…1010001010000
31222100022020020
41230021101100
524224141040
62451343440
7462652443
oct154112120
958308206
1028349520
1115003461
1295b1b80
135b47984
143a9d65a
15274ecd0
hex1b09450

28349520 has 80 divisors (see below), whose sum is σ = 92523840. Its totient is φ = 7160832.

The previous prime is 28349479. The next prime is 28349549. The reversal of 28349520 is 2594382.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1452 + ... + 7668.

It is an arithmetic number, because the mean of its divisors is an integer number (1156548).

Almost surely, 228349520 is an apocalyptic number.

28349520 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 28349520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46261920).

28349520 is an abundant number, since it is smaller than the sum of its proper divisors (64174320).

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

28349520 is a wasteful number, since it uses less digits than its factorization.

28349520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6252 (or 6246 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 28349520 is about 5324.4267297053. The cubic root of 28349520 is about 304.9171861520.

The spelling of 28349520 in words is "twenty-eight million, three hundred forty-nine thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 6217 12434 18651 24868 31085 37302 49736 62170 74604 93255 99472 118123 124340 149208 186510 236246 248680 298416 354369 373020 472492 497360 590615 708738 746040 944984 1181230 1417476 1492080 1771845 1889968 2362460 2834952 3543690 4724920 5669904 7087380 9449840 14174760 28349520