393148728 has 192 divisors, whose sum is σ = 1276853760. Its totient is φ = 111010176.

The previous prime is 393148687. The next prime is 393148733. The reversal of 393148728 is 827841393.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2272450 + ... + 2272622.

It is an arithmetic number, because the mean of its divisors is an integer number (6650280).

Almost surely, 2^393148728 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 393148728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638426880).

393148728 is an abundant number, since it is smaller than the sum of its proper divisors (883705032).

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

393148728 is a wasteful number, since it uses less digits than its factorization.

393148728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 352 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 393148728 is about 19827.9784143518. The cubic root of 393148728 is about 732.5753337625.

The spelling of 393148728 in words is "three hundred ninety-three million, one hundred forty-eight thousand, seven hundred twenty-eight".