728545837533840 has 320 divisors, whose sum is σ = 2535067159603200. Its totient is φ = 192297639937536.

The previous prime is 728545837533821. The next prime is 728545837533971. The reversal of 728545837533840 is 48335738545827.

728545837533840 is a `hidden beast` number, since 7 + 2 + 8 + 5 + 4 + 5 + 8 + 3 + 7 + 533 + 84 + 0 = 666.

728545837533840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 267437341 + ... + 270147779.

It is an arithmetic number, because the mean of its divisors is an integer number (7922084873760).

Almost surely, 2^{728545837533840} 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 728545837533840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267533579801600).

728545837533840 is an abundant number, since it is smaller than the sum of its proper divisors (1806521322069360).

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

728545837533840 is a wasteful number, since it uses less digits than its factorization.

728545837533840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2711731 (or 2711719 counting only the distinct ones).

The product of its (nonzero) digits is 2709504000, while the sum is 72.

The spelling of 728545837533840 in words is "seven hundred twenty-eight trillion, five hundred forty-five billion, eight hundred thirty-seven million, five hundred thirty-three thousand, eight hundred forty".