28768429670400 has 2400 divisors, whose sum is σ = 125862554400000. Its totient is φ = 6492405104640.

The previous prime is 28768429670381. The next prime is 28768429670411. The reversal of 28768429670400 is 407692486782.

28768429670400 is a `hidden beast` number, since 2 + 8 + 76 + 8 + 4 + 2 + 96 + 70 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 364157337561 + ... + 364157337639.

It is an arithmetic number, because the mean of its divisors is an integer number (52442731000).

Almost surely, 2^{28768429670400} is an apocalyptic number.

28768429670400 is a gapful number since it is divisible by the number (20) 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 28768429670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62931277200000).

28768429670400 is an abundant number, since it is smaller than the sum of its proper divisors (97094124729600).

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

28768429670400 is an frugal number, since it uses more digits than its factorization.

28768429670400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 28768429670400 in words is "twenty-eight trillion, seven hundred sixty-eight billion, four hundred twenty-nine million, six hundred seventy thousand, four hundred".