28889509390560 has 2688 divisors, whose sum is σ = 136879969443840. Its totient is φ = 5587074662400.

The previous prime is 28889509390531. The next prime is 28889509390667. The reversal of 28889509390560 is 6509390598882.

28889509390560 is a `hidden beast` number, since 2 + 8 + 8 + 8 + 9 + 50 + 9 + 3 + 9 + 0 + 560 = 666.

It is a super-3 number, since 3×28889509390560³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 6251785050 + ... + 6251789670.

It is an arithmetic number, because the mean of its divisors is an integer number (50922607680).

Almost surely, 2^{28889509390560} is an apocalyptic number.

28889509390560 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 28889509390560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68439984721920).

28889509390560 is an abundant number, since it is smaller than the sum of its proper divisors (107990460053280).

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

28889509390560 is a wasteful number, since it uses less digits than its factorization.

28889509390560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4724 (or 4701 counting only the distinct ones).

The product of its (nonzero) digits is 335923200, while the sum is 72.

The spelling of 28889509390560 in words is "twenty-eight trillion, eight hundred eighty-nine billion, five hundred nine million, three hundred ninety thousand, five hundred sixty".