728675820 has 36 divisors (see below), whose sum is σ = 2210317200. Its totient is φ = 194313504.

The previous prime is 728675813. The next prime is 728675851. The reversal of 728675820 is 28576827.

728675820 is a `hidden beast` number, since 7 + 2 + 8 + 67 + 582 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2023920 + ... + 2024279.

It is an arithmetic number, because the mean of its divisors is an integer number (61397700).

Almost surely, 2^728675820 is an apocalyptic number.

It is an amenable number.

728675820 is an abundant number, since it is smaller than the sum of its proper divisors (1481641380).

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

728675820 is a wasteful number, since it uses less digits than its factorization.

728675820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4048214 (or 4048209 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 728675820 is about 26993.9959991106. The cubic root of 728675820 is about 899.8665728127.

It can be divided in two parts, 72867 and 5820, that added together give a palindrome (78687).

The spelling of 728675820 in words is "seven hundred twenty-eight million, six hundred seventy-five thousand, eight hundred twenty".