728935150945680 has 2880 divisors, whose sum is σ = 3032502958817280. Its totient is φ = 156240567705600.

The previous prime is 728935150945591. The next prime is 728935150945697. The reversal of 728935150945680 is 86549051539827.

728935150945680 is a `hidden beast` number, since 7 + 2 + 8 + 9 + 3 + 5 + 1 + 50 + 9 + 4 + 568 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 728935150945599 and 728935150945608.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1923311743731 + ... + 1923311744109.

It is an arithmetic number, because the mean of its divisors is an integer number (1052952416256).

It is a 1-persistent number, because it is pandigital, but 2⋅728935150945680 = 1457870301891360 is not.

Almost surely, 2^{728935150945680} is an apocalyptic number.

728935150945680 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 728935150945680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516251479408640).

728935150945680 is an abundant number, since it is smaller than the sum of its proper divisors (2303567807871600).

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

728935150945680 is a wasteful number, since it uses less digits than its factorization.

728935150945680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 653184000, while the sum is 72.

The spelling of 728935150945680 in words is "seven hundred twenty-eight trillion, nine hundred thirty-five billion, one hundred fifty million, nine hundred forty-five thousand, six hundred eighty".