28889024617440 has 768 divisors, whose sum is σ = 112130486092800. Its totient is φ = 6900507500544.

The previous prime is 28889024617429. The next prime is 28889024617457. The reversal of 28889024617440 is 4471642098882.

28889024617440 is a `hidden beast` number, since 2 + 8 + 8 + 8 + 9 + 0 + 2 + 4 + 617 + 4 + 4 + 0 = 666.

It is a congruent number.

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, 787513339 + ... + 787550021.

It is an arithmetic number, because the mean of its divisors is an integer number (146003237100).

Almost surely, 2^{28889024617440} is an apocalyptic number.

28889024617440 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 28889024617440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56065243046400).

28889024617440 is an abundant number, since it is smaller than the sum of its proper divisors (83241461475360).

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

28889024617440 is a wasteful number, since it uses less digits than its factorization.

28889024617440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37136 (or 37122 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 28889024617440 in words is "twenty-eight trillion, eight hundred eighty-nine billion, twenty-four million, six hundred seventeen thousand, four hundred forty".