388657152 has 156 divisors (see below), whose sum is σ = 1210498744. Its totient is φ = 119439360.

The previous prime is 388657133. The next prime is 388657153. The reversal of 388657152 is 251756883.

It is a tau number, because it is divible by the number of its divisors (156).

It is a super-2 number, since 2×388657152² = 302108763601502208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 388657098 and 388657107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (388657153) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 478827 + ... + 479637.

Almost surely, 2^388657152 is an apocalyptic number.

388657152 is a gapful number since it is divisible by the number (32) 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 388657152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605249372).

388657152 is an abundant number, since it is smaller than the sum of its proper divisors (821841592).

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

388657152 is a wasteful number, since it uses less digits than its factorization.

388657152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 829 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 388657152 is about 19714.3894655655. The cubic root of 388657152 is about 729.7748426769.

The spelling of 388657152 in words is "three hundred eighty-eight million, six hundred fifty-seven thousand, one hundred fifty-two".