28894919088960 has 560 divisors, whose sum is σ = 112341159152640. Its totient is φ = 7018117447680.

The previous prime is 28894919088953. The next prime is 28894919088989. The reversal of 28894919088960 is 6988091949882.

It is a happy number.

28894919088960 is a `hidden beast` number, since 288 + 9 + 4 + 91 + 90 + 88 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 28894919088960.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12602181 + ... + 14717499.

Almost surely, 2^{28894919088960} is an apocalyptic number.

28894919088960 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 28894919088960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56170579576320).

28894919088960 is an abundant number, since it is smaller than the sum of its proper divisors (83446240063680).

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

28894919088960 is a wasteful number, since it uses less digits than its factorization.

28894919088960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2115396 (or 2115377 counting only the distinct ones).

The product of its (nonzero) digits is 1289945088, while the sum is 81.

The spelling of 28894919088960 in words is "twenty-eight trillion, eight hundred ninety-four billion, nine hundred nineteen million, eighty-eight thousand, nine hundred sixty".