388813152 has 96 divisors (see below), whose sum is σ = 1256193792. Its totient is φ = 102541824.

The previous prime is 388813123. The next prime is 388813157. The reversal of 388813152 is 251318883.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 388813152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (388813157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13518 + ... + 30989.

It is an arithmetic number, because the mean of its divisors is an integer number (13085352).

Almost surely, 2^388813152 is an apocalyptic number.

388813152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

388813152 is an abundant number, since it is smaller than the sum of its proper divisors (867380640).

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

388813152 is a wasteful number, since it uses less digits than its factorization.

388813152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44540 (or 44532 counting only the distinct ones).

The product of its digits is 46080, while the sum is 39.

The square root of 388813152 is about 19718.3455695451. The cubic root of 388813152 is about 729.8724691209.

The spelling of 388813152 in words is "three hundred eighty-eight million, eight hundred thirteen thousand, one hundred fifty-two".