387928400 has 30 divisors (see below), whose sum is σ = 931998942. Its totient is φ = 155171200.

The previous prime is 387928381. The next prime is 387928421. The reversal of 387928400 is 4829783.

It can be written as a sum of positive squares in 3 ways, for example, as 3297856 + 384630544 = 1816^2 + 19612^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 484511 + ... + 485310.

Almost surely, 2^387928400 is an apocalyptic number.

It is an amenable number.

387928400 is an abundant number, since it is smaller than the sum of its proper divisors (544070542).

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

387928400 is a wasteful number, since it uses less digits than its factorization.

387928400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969839 (or 969828 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 41.

The square root of 387928400 is about 19695.8980501017. The cubic root of 387928400 is about 729.3184356013.

The spelling of 387928400 in words is "three hundred eighty-seven million, nine hundred twenty-eight thousand, four hundred".