28601834149440 has 896 divisors, whose sum is σ = 109587635942400. Its totient is φ = 6995802193920.

The previous prime is 28601834149397. The next prime is 28601834149489. The reversal of 28601834149440 is 4494143810682.

28601834149440 is a `hidden beast` number, since 2 + 8 + 6 + 0 + 183 + 4 + 14 + 9 + 440 = 666.

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 127 ways as a sum of consecutive naturals, for example, 976590477 + ... + 976619763.

It is an arithmetic number, because the mean of its divisors is an integer number (122307629400).

Almost surely, 2^{28601834149440} is an apocalyptic number.

28601834149440 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 28601834149440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54793817971200).

28601834149440 is an abundant number, since it is smaller than the sum of its proper divisors (80985801792960).

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

28601834149440 is a wasteful number, since it uses less digits than its factorization.

28601834149440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29500 (or 29484 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 28601834149440 in words is "twenty-eight trillion, six hundred one billion, eight hundred thirty-four million, one hundred forty-nine thousand, four hundred forty".