28761264 has 80 divisors (see below), whose sum is σ = 94359040. Its totient is φ = 8216640.

The previous prime is 28761253. The next prime is 28761277. The reversal of 28761264 is 46216782.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1732 + ... + 7779.

It is an arithmetic number, because the mean of its divisors is an integer number (1179488).

Almost surely, 2^28761264 is an apocalyptic number.

28761264 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 28761264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47179520).

28761264 is an abundant number, since it is smaller than the sum of its proper divisors (65597776).

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

28761264 is a wasteful number, since it uses less digits than its factorization.

28761264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9535 (or 9523 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 28761264 is about 5362.9529179362. The cubic root of 28761264 is about 306.3862864743.

The spelling of 28761264 in words is "twenty-eight million, seven hundred sixty-one thousand, two hundred sixty-four".