27428787302400 has 2496 divisors, whose sum is σ = 116070742425600. Its totient is φ = 6287818752000.

The previous prime is 27428787302381. The next prime is 27428787302459. The reversal of 27428787302400 is 420378782472.

27428787302400 is a `hidden beast` number, since 274 + 28 + 7 + 8 + 7 + 302 + 40 + 0 = 666.

27428787302400 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 44311449291 + ... + 44311449909.

Almost surely, 2^{27428787302400} is an apocalyptic number.

27428787302400 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 27428787302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58035371212800).

27428787302400 is an abundant number, since it is smaller than the sum of its proper divisors (88641955123200).

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

27428787302400 is a wasteful number, since it uses less digits than its factorization.

27428787302400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 8429568, while the sum is 54.

The spelling of 27428787302400 in words is "twenty-seven trillion, four hundred twenty-eight billion, seven hundred eighty-seven million, three hundred two thousand, four hundred".