728924027832 has 1440 divisors, whose sum is σ = 2870737206480. Its totient is φ = 170733588480.

The previous prime is 728924027809. The next prime is 728924027863. The reversal of 728924027832 is 238720429827.

728924027832 is a `hidden beast` number, since 72 + 8 + 92 + 402 + 7 + 83 + 2 = 666.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 3128429188 + ... + 3128429420.

Almost surely, 2^728924027832 is an apocalyptic number.

728924027832 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 728924027832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1435368603240).

728924027832 is an abundant number, since it is smaller than the sum of its proper divisors (2141813178648).

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

728924027832 is a wasteful number, since it uses less digits than its factorization.

728924027832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 728924027832 in words is "seven hundred twenty-eight billion, nine hundred twenty-four million, twenty-seven thousand, eight hundred thirty-two".