387928800 has 432 divisors, whose sum is σ = 1608647040. Its totient is φ = 86123520.

The previous prime is 387928771. The next prime is 387928813. The reversal of 387928800 is 8829783.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2167111 + ... + 2167289.

It is an arithmetic number, because the mean of its divisors is an integer number (3723720).

Almost surely, 2^387928800 is an apocalyptic number.

387928800 is a gapful number since it is divisible by the number (30) 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 387928800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804323520).

387928800 is an abundant number, since it is smaller than the sum of its proper divisors (1220718240).

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

387928800 is a wasteful number, since it uses less digits than its factorization.

387928800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 387928800 is about 19695.9082044977. The cubic root of 387928800 is about 729.3186862724.

The spelling of 387928800 in words is "three hundred eighty-seven million, nine hundred twenty-eight thousand, eight hundred".