388516828 has 96 divisors (see below), whose sum is σ = 853493760. Its totient is φ = 151092480.

The previous prime is 388516819. The next prime is 388516837. The reversal of 388516828 is 828615883.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (388516819) and next prime (388516837).

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1325850 + ... + 1326142.

It is an arithmetic number, because the mean of its divisors is an integer number (8890560).

Almost surely, 2^388516828 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 388516828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426746880).

388516828 is an abundant number, since it is smaller than the sum of its proper divisors (464976932).

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

388516828 is a wasteful number, since it uses less digits than its factorization.

388516828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 425 counting only the distinct ones).

The product of its digits is 737280, while the sum is 49.

The square root of 388516828 is about 19710.8302209724. The cubic root of 388516828 is about 729.6870041185.

The spelling of 388516828 in words is "three hundred eighty-eight million, five hundred sixteen thousand, eight hundred twenty-eight".