28546927718400 has 2808 divisors, whose sum is σ = 132910007163024. Its totient is φ = 6019743744000.

The previous prime is 28546927718357. The next prime is 28546927718431. The reversal of 28546927718400 is 481772964582.

It is a happy number.

28546927718400 is a `hidden beast` number, since 2 + 8 + 5 + 469 + 27 + 71 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2808).

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 215 ways as a sum of consecutive naturals, for example, 15850597500 + ... + 15850599300.

Almost surely, 2^{28546927718400} is an apocalyptic number.

28546927718400 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 28546927718400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66455003581512).

28546927718400 is an abundant number, since it is smaller than the sum of its proper divisors (104363079444624).

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

28546927718400 is a wasteful number, since it uses less digits than its factorization.

28546927718400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1877 (or 1831 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 28546927718400 in words is "twenty-eight trillion, five hundred forty-six billion, nine hundred twenty-seven million, seven hundred eighteen thousand, four hundred".