728179632 has 240 divisors, whose sum is σ = 2339850240. Its totient is φ = 218059776.

The previous prime is 728179607. The next prime is 728179633. The reversal of 728179632 is 236971827.

728179632 is a `hidden beast` number, since 7 + 2 + 8 + 1 + 7 + 9 + 632 = 666.

728179632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (728179633) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1519969 + ... + 1520447.

It is an arithmetic number, because the mean of its divisors is an integer number (9749376).

Almost surely, 2^728179632 is an apocalyptic number.

728179632 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 728179632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169925120).

728179632 is an abundant number, since it is smaller than the sum of its proper divisors (1611670608).

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

728179632 is a wasteful number, since it uses less digits than its factorization.

728179632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 524 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 728179632 is about 26984.8037235775. The cubic root of 728179632 is about 899.6622732833.

The spelling of 728179632 in words is "seven hundred twenty-eight million, one hundred seventy-nine thousand, six hundred thirty-two".