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28313964 = 2232732293
BaseRepresentation
bin110110000000…
…0100101101100
31222021111110100
41230000211230
524222021324
62450511100
7462444000
oct154004554
958244410
1028313964
1114a89778
129595490
135b34733
143a90700
1527444c9
hex1b0096c

28313964 has 72 divisors (see below), whose sum is σ = 83501600. Its totient is φ = 8086176.

The previous prime is 28313963. The next prime is 28313969. The reversal of 28313964 is 46931382.

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

It is not an unprimeable number, because it can be changed into a prime (28313963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11202 + ... + 13494.

Almost surely, 228313964 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 28313964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41750800).

28313964 is an abundant number, since it is smaller than the sum of its proper divisors (55187636).

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

28313964 is a wasteful number, since it uses less digits than its factorization.

28313964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2324 (or 2305 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 28313964 is about 5321.0867311105. The cubic root of 28313964 is about 304.7896569950.

The spelling of 28313964 in words is "twenty-eight million, three hundred thirteen thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 343 441 588 686 882 1029 1372 1764 2058 2293 3087 4116 4586 6174 6879 9172 12348 13758 16051 20637 27516 32102 41274 48153 64204 82548 96306 112357 144459 192612 224714 288918 337071 449428 577836 674142 786499 1011213 1348284 1572998 2022426 2359497 3145996 4044852 4718994 7078491 9437988 14156982 28313964