728665943040 has 924 divisors, whose sum is σ = 3013148071056. Its totient is φ = 165554896896.

The previous prime is 728665943029. The next prime is 728665943053. The reversal of 728665943040 is 40349566827.

728665943040 is a `hidden beast` number, since 7 + 2 + 8 + 6 + 6 + 594 + 3 + 0 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 4363269037 + ... + 4363269203.

Almost surely, 2^728665943040 is an apocalyptic number.

728665943040 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 728665943040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1506574035528).

728665943040 is an abundant number, since it is smaller than the sum of its proper divisors (2284482128016).

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

728665943040 is an frugal number, since it uses more digits than its factorization.

728665943040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 728665943040 in words is "seven hundred twenty-eight billion, six hundred sixty-five million, nine hundred forty-three thousand, forty".