904345728 has 256 divisors, whose sum is σ = 2895298560. Its totient is φ = 246435840.

The previous prime is 904345727. The next prime is 904345759. The reversal of 904345728 is 827543409.

It is a self number, because there is not a number n which added to its sum of digits gives 904345728.

It is not an unprimeable number, because it can be changed into a prime (904345723) 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, 2361025 + ... + 2361407.

It is an arithmetic number, because the mean of its divisors is an integer number (11309760).

Almost surely, 2^904345728 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 904345728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447649280).

904345728 is an abundant number, since it is smaller than the sum of its proper divisors (1990952832).

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

904345728 is a wasteful number, since it uses less digits than its factorization.

904345728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 904345728 is about 30072.3415782676. The cubic root of 904345728 is about 967.0408731695.

The spelling of 904345728 in words is "nine hundred four million, three hundred forty-five thousand, seven hundred twenty-eight".