28219290896160 has 3456 divisors, whose sum is σ = 132946894080000. Its totient is φ = 5632034623488.

The previous prime is 28219290896143. The next prime is 28219290896171. The reversal of 28219290896160 is 6169809291282.

28219290896160 is a `hidden beast` number, since 2 + 8 + 2 + 1 + 9 + 2 + 9 + 0 + 8 + 9 + 616 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 42821381911 + ... + 42821382569.

It is an arithmetic number, because the mean of its divisors is an integer number (38468430000).

Almost surely, 2^{28219290896160} is an apocalyptic number.

28219290896160 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 28219290896160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66473447040000).

28219290896160 is an abundant number, since it is smaller than the sum of its proper divisors (104727603183840).

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

28219290896160 is a wasteful number, since it uses less digits than its factorization.

28219290896160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 63.

The spelling of 28219290896160 in words is "twenty-eight trillion, two hundred nineteen billion, two hundred ninety million, eight hundred ninety-six thousand, one hundred sixty".