28661248418400 has 288 divisors, whose sum is σ = 111631889164320. Its totient is φ = 7055076464640.

The previous prime is 28661248418377. The next prime is 28661248418437. The reversal of 28661248418400 is 481484216682.

28661248418400 is a `hidden beast` number, since 2 + 8 + 6 + 612 + 4 + 8 + 4 + 18 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 50754187 + ... + 51315786.

It is an arithmetic number, because the mean of its divisors is an integer number (387610726265).

Almost surely, 2^{28661248418400} is an apocalyptic number.

28661248418400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28661248418400 is an abundant number, since it is smaller than the sum of its proper divisors (82970640745920).

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

28661248418400 is a wasteful number, since it uses less digits than its factorization.

28661248418400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102070015 (or 102069996 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 28661248418400 in words is "twenty-eight trillion, six hundred sixty-one billion, two hundred forty-eight million, four hundred eighteen thousand, four hundred".