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28680072 = 2332989463
BaseRepresentation
bin110110101100…
…1111110001000
31222222002122220
41231121332020
524320230242
62502414040
7465530241
oct155317610
958862586
1028680072
1115209843
129731320
135c32275
143b47cc8
1527b7bec
hex1b59f88

28680072 has 64 divisors (see below), whose sum is σ = 75168000. Its totient is φ = 9106944.

The previous prime is 28680059. The next prime is 28680073. The reversal of 28680072 is 27008682.

It is not an unprimeable number, because it can be changed into a prime (28680073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61713 + ... + 62175.

It is an arithmetic number, because the mean of its divisors is an integer number (1174500).

Almost surely, 228680072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28680072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37584000).

28680072 is an abundant number, since it is smaller than the sum of its proper divisors (46487928).

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

28680072 is a wasteful number, since it uses less digits than its factorization.

28680072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 28680072 is about 5355.3778578173. The cubic root of 28680072 is about 306.0977089826.

The spelling of 28680072 in words is "twenty-eight million, six hundred eighty thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 89 116 174 178 232 267 348 356 463 534 696 712 926 1068 1389 1852 2136 2581 2778 3704 5162 5556 7743 10324 11112 13427 15486 20648 26854 30972 40281 41207 53708 61944 80562 82414 107416 123621 161124 164828 247242 322248 329656 494484 988968 1195003 2390006 3585009 4780012 7170018 9560024 14340036 28680072