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28815424 = 26112612
BaseRepresentation
bin110110111101…
…1000001000000
32000012222022221
41231323001000
524334043144
62505340424
7466632661
oct155730100
960188287
1028815424
11152a1500
129797714
135c7ba61
143b81368
1527e2d84
hex1b7b040

28815424 has 63 divisors (see below), whose sum is σ = 63898653. Its totient is φ = 12883200.

The previous prime is 28815407. The next prime is 28815443. The reversal of 28815424 is 42451882.

The square root of 28815424 is 5368.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 937024 + 27878400 = 968^2 + 5280^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 28815424.

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 8 ways as a sum of consecutive naturals, for example, 472354 + ... + 472414.

Almost surely, 228815424 is an apocalyptic number.

28815424 is the 5368-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28815424

28815424 is an abundant number, since it is smaller than the sum of its proper divisors (35083229).

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

28815424 is an equidigital number, since it uses as much as digits as its factorization.

28815424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 74 counting only the distinct ones).

The product of its digits is 20480, while the sum is 34.

The cubic root of 28815424 is about 306.5784833616.

The spelling of 28815424 in words is "twenty-eight million, eight hundred fifteen thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 61 64 88 121 122 176 242 244 352 484 488 671 704 968 976 1342 1936 1952 2684 3721 3872 3904 5368 7381 7442 7744 10736 14762 14884 21472 29524 29768 40931 42944 59048 59536 81862 118096 119072 163724 236192 238144 327448 450241 472384 654896 900482 1309792 1800964 2619584 3601928 7203856 14407712 28815424