28293264 has 60 divisors (see below), whose sum is σ = 80504892. Its totient is φ = 9273600.

The previous prime is 28293263. The next prime is 28293281. The reversal of 28293264 is 46239282.

It can be written as a sum of positive squares in 2 ways, for example, as 9734400 + 18558864 = 3120^2 + 4308^2 .

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 not an unprimeable number, because it can be changed into a prime (28293263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7174 + ... + 10394.

Almost surely, 2^28293264 is an apocalyptic number.

28293264 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 28293264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40252446).

28293264 is an abundant number, since it is smaller than the sum of its proper divisors (52211628).

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

28293264 is a wasteful number, since it uses less digits than its factorization.

28293264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3296 (or 3287 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 28293264 is about 5319.1412840796. The cubic root of 28293264 is about 304.7153628642.

The spelling of 28293264 in words is "twenty-eight million, two hundred ninety-three thousand, two hundred sixty-four".