728957880 has 160 divisors (see below), whose sum is σ = 2800211040. Its totient is φ = 166613760.

The previous prime is 728957863. The next prime is 728957893. The reversal of 728957880 is 88759827.

728957880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 6610 + ... + 38750.

It is an arithmetic number, because the mean of its divisors is an integer number (17501319).

Almost surely, 2^728957880 is an apocalyptic number.

728957880 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 728957880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400105520).

728957880 is an abundant number, since it is smaller than the sum of its proper divisors (2071253160).

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

728957880 is a wasteful number, since it uses less digits than its factorization.

728957880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32171 (or 32158 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The square root of 728957880 is about 26999.2199887330. The cubic root of 728957880 is about 899.9826663328.

The spelling of 728957880 in words is "seven hundred twenty-eight million, nine hundred fifty-seven thousand, eight hundred eighty".