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28452864 = 211311421
BaseRepresentation
bin110110010001…
…0100000000000
31222112112222210
41230202200000
524240442424
62453502120
7463562646
oct154424000
958475883
1028452864
1115074070
129641940
135b82a1b
143ac9196
152770729
hex1b22800

28452864 has 96 divisors (see below), whose sum is σ = 82948320. Its totient is φ = 8601600.

The previous prime is 28452841. The next prime is 28452871. The reversal of 28452864 is 46825482.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67374 + ... + 67794.

It is an arithmetic number, because the mean of its divisors is an integer number (864045).

Almost surely, 228452864 is an apocalyptic number.

28452864 is a gapful number since it is divisible by the number (24) 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 28452864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41474160).

28452864 is an abundant number, since it is smaller than the sum of its proper divisors (54495456).

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

28452864 is a wasteful number, since it uses less digits than its factorization.

28452864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 437 counting only the distinct ones).

The product of its digits is 122880, while the sum is 39.

The square root of 28452864 is about 5334.1226082646. The cubic root of 28452864 is about 305.2872470800.

The spelling of 28452864 in words is "twenty-eight million, four hundred fifty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 421 512 528 704 768 842 1024 1056 1263 1408 1536 1684 2048 2112 2526 2816 3072 3368 4224 4631 5052 5632 6144 6736 8448 9262 10104 11264 13472 13893 16896 18524 20208 22528 26944 27786 33792 37048 40416 53888 55572 67584 74096 80832 107776 111144 148192 161664 215552 222288 296384 323328 431104 444576 592768 646656 862208 889152 1185536 1293312 1778304 2371072 2586624 3556608 4742144 7113216 9484288 14226432 28452864