388293972 has 72 divisors (see below), whose sum is σ = 1021630176. Its totient is φ = 113832000.

The previous prime is 388293943. The next prime is 388293977. The reversal of 388293972 is 279392883.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (388293977) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125322 + ... + 128382.

It is an arithmetic number, because the mean of its divisors is an integer number (14189308).

Almost surely, 2^388293972 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 388293972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510815088).

388293972 is an abundant number, since it is smaller than the sum of its proper divisors (633336204).

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

388293972 is a wasteful number, since it uses less digits than its factorization.

388293972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3141 (or 3108 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 51.

The square root of 388293972 is about 19705.1762742686. The cubic root of 388293972 is about 729.5474595586.

The spelling of 388293972 in words is "three hundred eighty-eight million, two hundred ninety-three thousand, nine hundred seventy-two".