728975891952 has 480 divisors, whose sum is σ = 2687076587520. Its totient is φ = 178730426880.

The previous prime is 728975891927. The next prime is 728975891953. The reversal of 728975891952 is 259198579827.

728975891952 is a `hidden beast` number, since 7 + 28 + 9 + 7 + 589 + 19 + 5 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728975891953) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59614063 + ... + 59626289.

It is an arithmetic number, because the mean of its divisors is an integer number (5598076224).

Almost surely, 2^728975891952 is an apocalyptic number.

728975891952 is a gapful number since it is divisible by the number (72) 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 728975891952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343538293760).

728975891952 is an abundant number, since it is smaller than the sum of its proper divisors (1958100695568).

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

728975891952 is a wasteful number, since it uses less digits than its factorization.

728975891952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12561 (or 12552 counting only the distinct ones).

The product of its digits is 228614400, while the sum is 72.

The spelling of 728975891952 in words is "seven hundred twenty-eight billion, nine hundred seventy-five million, eight hundred ninety-one thousand, nine hundred fifty-two".