728904960 has 576 divisors, whose sum is σ = 3108188160. Its totient is φ = 158146560.

The previous prime is 728904959. The next prime is 728904973. The reversal of 728904960 is 69409827.

It is a happy number.

728904960 is a `hidden beast` number, since 72 + 8 + 90 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5564095 + ... + 5564225.

It is an arithmetic number, because the mean of its divisors is an integer number (5396160).

Almost surely, 2^728904960 is an apocalyptic number.

728904960 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 728904960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554094080).

728904960 is an abundant number, since it is smaller than the sum of its proper divisors (2379283200).

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

728904960 is a wasteful number, since it uses less digits than its factorization.

728904960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 728904960 is about 26998.2399426333. The cubic root of 728904960 is about 899.9608871891.

The spelling of 728904960 in words is "seven hundred twenty-eight million, nine hundred four thousand, nine hundred sixty".