728077835520 has 1152 divisors, whose sum is σ = 3131735040000. Its totient is φ = 156465561600.

The previous prime is 728077835497. The next prime is 728077835531. The reversal of 728077835520 is 25538770827.

728077835520 is a `hidden beast` number, since 7 + 2 + 8 + 0 + 7 + 7 + 83 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 127 ways as a sum of consecutive naturals, for example, 694067956 + ... + 694069004.

It is an arithmetic number, because the mean of its divisors is an integer number (2718520000).

Almost surely, 2^728077835520 is an apocalyptic number.

728077835520 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 728077835520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565867520000).

728077835520 is an abundant number, since it is smaller than the sum of its proper divisors (2403657204480).

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

728077835520 is a wasteful number, since it uses less digits than its factorization.

728077835520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 6585600, while the sum is 54.

The spelling of 728077835520 in words is "seven hundred twenty-eight billion, seventy-seven million, eight hundred thirty-five thousand, five hundred twenty".