28632864 has 48 divisors (see below), whose sum is σ = 80946432. Its totient is φ = 8809728.

The previous prime is 28632859. The next prime is 28632893. The reversal of 28632864 is 46823682.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (39).

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 7 ways as a sum of consecutive naturals, for example, 10224 + ... + 12719.

It is an arithmetic number, because the mean of its divisors is an integer number (1686384).

Almost surely, 2^28632864 is an apocalyptic number.

28632864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

28632864 is an abundant number, since it is smaller than the sum of its proper divisors (52313568).

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

28632864 is a wasteful number, since it uses less digits than its factorization.

28632864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22969 (or 22961 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 28632864 is about 5350.9685104661. The cubic root of 28632864 is about 305.9296690002.

The spelling of 28632864 in words is "twenty-eight million, six hundred thirty-two thousand, eight hundred sixty-four".