28620295561440 has 576 divisors, whose sum is σ = 110684134229760. Its totient is φ = 6926169047040.

The previous prime is 28620295561381. The next prime is 28620295561523. The reversal of 28620295561440 is 4416559202682.

28620295561440 is a `hidden beast` number, since 2 + 8 + 6 + 20 + 29 + 556 + 1 + 4 + 40 = 666.

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 95 ways as a sum of consecutive naturals, for example, 246713371 + ... + 246829349.

It is an arithmetic number, because the mean of its divisors is an integer number (192159955260).

Almost surely, 2^{28620295561440} is an apocalyptic number.

28620295561440 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 28620295561440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55342067114880).

28620295561440 is an abundant number, since it is smaller than the sum of its proper divisors (82063838668320).

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

28620295561440 is a wasteful number, since it uses less digits than its factorization.

28620295561440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116597 (or 116577 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 28620295561440 in words is "twenty-eight trillion, six hundred twenty billion, two hundred ninety-five million, five hundred sixty-one thousand, four hundred forty".