388264128 has 112 divisors (see below), whose sum is σ = 1179112704. Its totient is φ = 110453760.

The previous prime is 388264111. The next prime is 388264147. The reversal of 388264128 is 821462883.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 388264128.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 412138 + ... + 413078.

It is an arithmetic number, because the mean of its divisors is an integer number (10527792).

Almost surely, 2^388264128 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 388264128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589556352).

388264128 is an abundant number, since it is smaller than the sum of its proper divisors (790848576).

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

388264128 is a wasteful number, since it uses less digits than its factorization.

388264128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 1260 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 388264128 is about 19704.4189967631. The cubic root of 388264128 is about 729.5287682458.

The spelling of 388264128 in words is "three hundred eighty-eight million, two hundred sixty-four thousand, one hundred twenty-eight".