728167104 has 224 divisors, whose sum is σ = 2514152960. Its totient is φ = 202300416.

The previous prime is 728167079. The next prime is 728167127. The reversal of 728167104 is 401761827.

728167104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 446739 + ... + 448365.

Almost surely, 2^728167104 is an apocalyptic number.

728167104 is a gapful number since it is divisible by the number (74) 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 728167104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257076480).

728167104 is an abundant number, since it is smaller than the sum of its proper divisors (1785985856).

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

728167104 is a wasteful number, since it uses less digits than its factorization.

728167104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692 (or 1676 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 728167104 is about 26984.5715919301. The cubic root of 728167104 is about 899.6571138267.

The spelling of 728167104 in words is "seven hundred twenty-eight million, one hundred sixty-seven thousand, one hundred four".