392740128 has 144 divisors (see below), whose sum is σ = 1227949632. Its totient is φ = 118080000.

The previous prime is 392740097. The next prime is 392740169. The reversal of 392740128 is 821047293.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (36) 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 392740092 and 392740101.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 477958 + ... + 478778.

It is an arithmetic number, because the mean of its divisors is an integer number (8527428).

Almost surely, 2^392740128 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 392740128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613974816).

392740128 is an abundant number, since it is smaller than the sum of its proper divisors (835209504).

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

392740128 is a wasteful number, since it uses less digits than its factorization.

392740128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 392740128 is about 19817.6721135455. The cubic root of 392740128 is about 732.3214569486.

The spelling of 392740128 in words is "three hundred ninety-two million, seven hundred forty thousand, one hundred twenty-eight".