388892052 has 72 divisors (see below), whose sum is σ = 1034370792. Its totient is φ = 123033600.

The previous prime is 388892047. The next prime is 388892107. The reversal of 388892052 is 250298883.

It can be written as a sum of positive squares in 4 ways, for example, as 171396 + 388720656 = 414^2 + 19716^2 .

It is a junction number, because it is equal to n+sod(n) for n = 388891989 and 388892007.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 51052 + ... + 58172.

It is an arithmetic number, because the mean of its divisors is an integer number (14366261).

Almost surely, 2^388892052 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 388892052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517185396).

388892052 is an abundant number, since it is smaller than the sum of its proper divisors (645478740).

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

388892052 is a wasteful number, since it uses less digits than its factorization.

388892052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7209 (or 7204 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 388892052 is about 19720.3461430067. The cubic root of 388892052 is about 729.9218356291.

The spelling of 388892052 in words is "three hundred eighty-eight million, eight hundred ninety-two thousand, fifty-two".