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28585080 = 23325271293
BaseRepresentation
bin110110100001…
…0110001111000
31222210021100200
41231002301320
524304210310
62500402200
7464653266
oct155026170
958707320
1028585080
1115154437
1296a6360
135bcac64
143b21436
1527999c0
hex1b42c78

28585080 has 96 divisors (see below), whose sum is σ = 93562560. Its totient is φ = 7568640.

The previous prime is 28585079. The next prime is 28585093. The reversal of 28585080 is 8058582.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97414 + ... + 97706.

It is an arithmetic number, because the mean of its divisors is an integer number (974610).

Almost surely, 228585080 is an apocalyptic number.

28585080 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 28585080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46781280).

28585080 is an abundant number, since it is smaller than the sum of its proper divisors (64977480).

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

28585080 is a wasteful number, since it uses less digits than its factorization.

28585080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 28585080 is about 5346.5016599642. The cubic root of 28585080 is about 305.7593905059.

The spelling of 28585080 in words is "twenty-eight million, five hundred eighty-five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 271 293 360 542 586 813 879 1084 1172 1355 1465 1626 1758 2168 2344 2439 2637 2710 2930 3252 3516 4065 4395 4878 5274 5420 5860 6504 7032 8130 8790 9756 10548 10840 11720 12195 13185 16260 17580 19512 21096 24390 26370 32520 35160 48780 52740 79403 97560 105480 158806 238209 317612 397015 476418 635224 714627 794030 952836 1191045 1429254 1588060 1905672 2382090 2858508 3176120 3573135 4764180 5717016 7146270 9528360 14292540 28585080