102728389579200 has 3024 divisors, whose sum is σ = 488565302930432. Its totient is φ = 20766772224000.

The previous prime is 102728389579199. The next prime is 102728389579327. The reversal of 102728389579200 is 2975983827201.

102728389579200 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 2 + 8 + 38 + 9 + 579 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 12184598985 + ... + 12184607415.

Almost surely, 2^{102728389579200} is an apocalyptic number.

102728389579200 is a gapful number since it is divisible by the number (10) 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 102728389579200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244282651465216).

102728389579200 is an abundant number, since it is smaller than the sum of its proper divisors (385836913351232).

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

102728389579200 is a wasteful number, since it uses less digits than its factorization.

102728389579200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8534 (or 8496 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 102728389579200 in words is "one hundred two trillion, seven hundred twenty-eight billion, three hundred eighty-nine million, five hundred seventy-nine thousand, two hundred".