728173152 has 240 divisors, whose sum is σ = 2488147200. Its totient is φ = 204602112.

The previous prime is 728173139. The next prime is 728173181. The reversal of 728173152 is 251371827.

It is a super-2 number, since 2×728173152² = 1060472278587230208, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1215349 + ... + 1215947.

It is an arithmetic number, because the mean of its divisors is an integer number (10367280).

Almost surely, 2^728173152 is an apocalyptic number.

728173152 is a gapful number since it is divisible by the number (72) 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 728173152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244073600).

728173152 is an abundant number, since it is smaller than the sum of its proper divisors (1759974048).

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

728173152 is a wasteful number, since it uses less digits than its factorization.

728173152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 678 counting only the distinct ones).

The product of its digits is 23520, while the sum is 36.

The square root of 728173152 is about 26984.6836557333. The cubic root of 728173152 is about 899.6596046062.

The spelling of 728173152 in words is "seven hundred twenty-eight million, one hundred seventy-three thousand, one hundred fifty-two".