388968048 has 160 divisors (see below), whose sum is σ = 1283251200. Its totient is φ = 110502144.

The previous prime is 388968043. The next prime is 388968049. The reversal of 388968048 is 840869883.

It is a super-2 number, since 2×388968048² = 302592284729860608, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 388967985 and 388968003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (388968043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 885813 + ... + 886251.

It is an arithmetic number, because the mean of its divisors is an integer number (8020320).

Almost surely, 2^388968048 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 388968048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641625600).

388968048 is an abundant number, since it is smaller than the sum of its proper divisors (894283152).

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

388968048 is a wasteful number, since it uses less digits than its factorization.

388968048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The square root of 388968048 is about 19722.2728913277. The cubic root of 388968048 is about 729.9693788369.

The spelling of 388968048 in words is "three hundred eighty-eight million, nine hundred sixty-eight thousand, forty-eight".