28953264 has 80 divisors (see below), whose sum is σ = 80352000. Its totient is φ = 8955648.

The previous prime is 28953241. The next prime is 28953271. The reversal of 28953264 is 46235982.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 48037 + ... + 48635.

It is an arithmetic number, because the mean of its divisors is an integer number (1004400).

Almost surely, 2^28953264 is an apocalyptic number.

28953264 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 28953264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40176000).

28953264 is an abundant number, since it is smaller than the sum of its proper divisors (51398736).

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

28953264 is a wasteful number, since it uses less digits than its factorization.

28953264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 676 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 28953264 is about 5380.8237287612. The cubic root of 28953264 is about 307.0665503812.

The spelling of 28953264 in words is "twenty-eight million, nine hundred fifty-three thousand, two hundred sixty-four".