387281928240 has 160 divisors (see below), whose sum is σ = 1334806084800. Its totient is φ = 103210536960.

The previous prime is 387281928227. The next prime is 387281928259. The reversal of 387281928240 is 42829182783.

387281928240 is a `hidden beast` number, since 3 + 87 + 281 + 9 + 282 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3446056 + ... + 3556664.

It is an arithmetic number, because the mean of its divisors is an integer number (8342538030).

Almost surely, 2^387281928240 is an apocalyptic number.

387281928240 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 387281928240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667403042400).

387281928240 is an abundant number, since it is smaller than the sum of its proper divisors (947524156560).

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

387281928240 is a wasteful number, since it uses less digits than its factorization.

387281928240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112252 (or 112240 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 387281928240 in words is "three hundred eighty-seven billion, two hundred eighty-one million, nine hundred twenty-eight thousand, two hundred forty".