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28582120 = 2357102079
BaseRepresentation
bin110110100001…
…0000011101000
31222210010022001
41231002003220
524304111440
62500340344
7464641540
oct155020350
958703261
1028582120
1115152196
1296a46b4
135bc97c8
143b20320
152798b9a
hex1b420e8

28582120 has 32 divisors (see below), whose sum is σ = 73497600. Its totient is φ = 9799488.

The previous prime is 28582109. The next prime is 28582159. The reversal of 28582120 is 2128582.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50760 + ... + 51319.

It is an arithmetic number, because the mean of its divisors is an integer number (2296800).

Almost surely, 228582120 is an apocalyptic number.

28582120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28582120 is an abundant number, since it is smaller than the sum of its proper divisors (44915480).

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

28582120 is a wasteful number, since it uses less digits than its factorization.

28582120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102097 (or 102093 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 28582120 is about 5346.2248362747. The cubic root of 28582120 is about 305.7488362932.

The spelling of 28582120 in words is "twenty-eight million, five hundred eighty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 102079 204158 408316 510395 714553 816632 1020790 1429106 2041580 2858212 3572765 4083160 5716424 7145530 14291060 28582120