28425168407160 has 1024 divisors, whose sum is σ = 113950900224000. Its totient is φ = 6166564577280.

The previous prime is 28425168407159. The next prime is 28425168407177. The reversal of 28425168407160 is 6170486152482.

28425168407160 is a `hidden beast` number, since 2 + 8 + 42 + 516 + 84 + 0 + 7 + 1 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 28425168407097 and 28425168407106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2703806064 + ... + 2703816576.

It is an arithmetic number, because the mean of its divisors is an integer number (111280176000).

Almost surely, 2^{28425168407160} is an apocalyptic number.

28425168407160 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 28425168407160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56975450112000).

28425168407160 is an abundant number, since it is smaller than the sum of its proper divisors (85525731816840).

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

28425168407160 is a wasteful number, since it uses less digits than its factorization.

28425168407160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10793 (or 10783 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 28425168407160 in words is "twenty-eight trillion, four hundred twenty-five billion, one hundred sixty-eight million, four hundred seven thousand, one hundred sixty".