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28615464 = 2333137967
BaseRepresentation
bin110110100101…
…0001100101000
31222211211001000
41231022030220
524311143324
62501155000
7465141003
oct155121450
958754030
1028615464
1115175249
1296bba60
135c0ba37
143b2c53a
1527a39c9
hex1b4a328

28615464 has 64 divisors (see below), whose sum is σ = 80150400. Its totient is φ = 9459072.

The previous prime is 28615451. The next prime is 28615493. The reversal of 28615464 is 46451682.

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

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 15 ways as a sum of consecutive naturals, for example, 29109 + ... + 30075.

It is an arithmetic number, because the mean of its divisors is an integer number (1252350).

Almost surely, 228615464 is an apocalyptic number.

28615464 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 28615464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40075200).

28615464 is an abundant number, since it is smaller than the sum of its proper divisors (51534936).

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

28615464 is a wasteful number, since it uses less digits than its factorization.

28615464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1109 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 28615464 is about 5349.3423894905. The cubic root of 28615464 is about 305.8676859715.

The spelling of 28615464 in words is "twenty-eight million, six hundred fifteen thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 137 216 274 411 548 822 967 1096 1233 1644 1934 2466 2901 3288 3699 3868 4932 5802 7398 7736 8703 9864 11604 14796 17406 23208 26109 29592 34812 52218 69624 104436 132479 208872 264958 397437 529916 794874 1059832 1192311 1589748 2384622 3179496 3576933 4769244 7153866 9538488 14307732 28615464