728497192500 has 1200 divisors, whose sum is σ = 3124429862400. Its totient is φ = 143350560000.

The previous prime is 728497192477. The next prime is 728497192589. The reversal of 728497192500 is 5291794827.

728497192500 is a `hidden beast` number, since 7 + 2 + 8 + 49 + 7 + 1 + 92 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 296256271 + ... + 296258729.

It is an arithmetic number, because the mean of its divisors is an integer number (2603691552).

Almost surely, 2^728497192500 is an apocalyptic number.

728497192500 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 728497192500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562214931200).

728497192500 is an abundant number, since it is smaller than the sum of its proper divisors (2395932669900).

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

728497192500 is a wasteful number, since it uses less digits than its factorization.

728497192500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2532 (or 2506 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 728497192500 in words is "seven hundred twenty-eight billion, four hundred ninety-seven million, one hundred ninety-two thousand, five hundred".