728684820472320 has 1800 divisors, whose sum is σ = 2865020333086692. Its totient is φ = 176972078776320.

The previous prime is 728684820472319. The next prime is 728684820472321. The reversal of 728684820472320 is 23274028486827.

It is a happy number.

728684820472320 is a `hidden beast` number, since 7 + 2 + 8 + 6 + 84 + 82 + 0 + 472 + 3 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (728684820472319) and next prime (728684820472321).

It can be written as a sum of positive squares in 6 ways, for example, as 265917988088064 + 462766832384256 = 16306992^2 + 21512016^2 .

It is not an unprimeable number, because it can be changed into a prime (728684820472321) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 57589879114 + ... + 57589891766.

Almost surely, 2^{728684820472320} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 728684820472320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432510166543346).

728684820472320 is an abundant number, since it is smaller than the sum of its proper divisors (2136335512614372).

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

728684820472320 is a wasteful number, since it uses less digits than its factorization.

728684820472320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12784 (or 12711 counting only the distinct ones).

The product of its (nonzero) digits is 115605504, while the sum is 63.

The spelling of 728684820472320 in words is "seven hundred twenty-eight trillion, six hundred eighty-four billion, eight hundred twenty million, four hundred seventy-two thousand, three hundred twenty".