48288864 has 48 divisors (see below), whose sum is σ = 136512432. Its totient is φ = 14857728.

The previous prime is 48288859. The next prime is 48288869. The reversal of 48288864 is 46888284.

It is an interprime number because it is at equal distance from previous prime (48288859) and next prime (48288869).

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

It is a super-3 number, since 3×48288864³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48288869) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18099 + ... + 20594.

It is an arithmetic number, because the mean of its divisors is an integer number (2844009).

Almost surely, 2^48288864 is an apocalyptic number.

It is an amenable number.

48288864 is an abundant number, since it is smaller than the sum of its proper divisors (88223568).

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

48288864 is a wasteful number, since it uses less digits than its factorization.

48288864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38719 (or 38711 counting only the distinct ones).

The product of its digits is 786432, while the sum is 48.

The square root of 48288864 is about 6949.0189235604. The cubic root of 48288864 is about 364.1516897864.

The spelling of 48288864 in words is "forty-eight million, two hundred eighty-eight thousand, eight hundred sixty-four".