728501816 has 160 divisors (see below), whose sum is σ = 1778747040. Its totient is φ = 278175744.

The previous prime is 728501803. The next prime is 728501831. The reversal of 728501816 is 618105827.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 728501816.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7510280 + ... + 7510376.

It is an arithmetic number, because the mean of its divisors is an integer number (11117169).

Almost surely, 2^728501816 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 728501816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889373520).

728501816 is an abundant number, since it is smaller than the sum of its proper divisors (1050245224).

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

728501816 is a wasteful number, since it uses less digits than its factorization.

728501816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 38.

The square root of 728501816 is about 26990.7727936790. The cubic root of 728501816 is about 899.7949392897.

The spelling of 728501816 in words is "seven hundred twenty-eight million, five hundred one thousand, eight hundred sixteen".