28131264 has 84 divisors (see below), whose sum is σ = 92165424. Its totient is φ = 8036352.

The previous prime is 28131253. The next prime is 28131283. The reversal of 28131264 is 46213182.

It is a tau number, because it is divible by the number of its divisors (84).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 544 + ... + 7520.

Almost surely, 2^28131264 is an apocalyptic number.

28131264 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 28131264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46082712).

28131264 is an abundant number, since it is smaller than the sum of its proper divisors (64034160).

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

28131264 is a wasteful number, since it uses less digits than its factorization.

28131264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7002 (or 6989 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 28131264 is about 5303.8914016032. The cubic root of 28131264 is about 304.1326752366.

The spelling of 28131264 in words is "twenty-eight million, one hundred thirty-one thousand, two hundred sixty-four".