28054931385600 has 2160 divisors, whose sum is σ = 122431284118528. Its totient is φ = 6204635873280.

The previous prime is 28054931385589. The next prime is 28054931385659. The reversal of 28054931385600 is 658313945082.

28054931385600 is a `hidden beast` number, since 2 + 8 + 0 + 5 + 49 + 3 + 1 + 38 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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 239 ways as a sum of consecutive naturals, for example, 29941228332 + ... + 29941229268.

Almost surely, 2^{28054931385600} is an apocalyptic number.

28054931385600 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 28054931385600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61215642059264).

28054931385600 is an abundant number, since it is smaller than the sum of its proper divisors (94376352732928).

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

28054931385600 is a wasteful number, since it uses less digits than its factorization.

28054931385600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 28054931385600 in words is "twenty-eight trillion, fifty-four billion, nine hundred thirty-one million, three hundred eighty-five thousand, six hundred".