387428864 has 80 divisors (see below), whose sum is σ = 812057400. Its totient is φ = 184418304.

The previous prime is 387428857. The next prime is 387428891. The reversal of 387428864 is 468824783.

It can be written as a sum of positive squares in 4 ways, for example, as 238393600 + 149035264 = 15440^2 + 12208^2 .

It is a super-2 number, since 2×387428864² = 300202249320660992, which contains 22 as substring.

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, 1440122 + ... + 1440390.

Almost surely, 2^387428864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 387428864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406028700).

387428864 is an abundant number, since it is smaller than the sum of its proper divisors (424628536).

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

387428864 is an equidigital number, since it uses as much as digits as its factorization.

387428864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 397 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 50.

The square root of 387428864 is about 19683.2127458908. The cubic root of 387428864 is about 729.0052529755.

The spelling of 387428864 in words is "three hundred eighty-seven million, four hundred twenty-eight thousand, eight hundred sixty-four".