728525894134500 has 1152 divisors, whose sum is σ = 3017783560296960. Its totient is φ = 150042170880000.

The previous prime is 728525894134487. The next prime is 728525894134537. The reversal of 728525894134500 is 5431498525827.

It is a happy number.

728525894134500 is a `hidden beast` number, since 7 + 2 + 8 + 5 + 2 + 5 + 8 + 94 + 1 + 34 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 821801490 + ... + 822687510.

It is an arithmetic number, because the mean of its divisors is an integer number (2619603784980).

Almost surely, 2^{728525894134500} is an apocalyptic number.

728525894134500 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 728525894134500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508891780148480).

728525894134500 is an abundant number, since it is smaller than the sum of its proper divisors (2289257666162460).

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

728525894134500 is a wasteful number, since it uses less digits than its factorization.

728525894134500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886187 (or 886162 counting only the distinct ones).

The product of its (nonzero) digits is 96768000, while the sum is 63.

The spelling of 728525894134500 in words is "seven hundred twenty-eight trillion, five hundred twenty-five billion, eight hundred ninety-four million, one hundred thirty-four thousand, five hundred".