28865278091520 has 1296 divisors, whose sum is σ = 112491201513600. Its totient is φ = 7083677712384.

The previous prime is 28865278091501. The next prime is 28865278091537. The reversal of 28865278091520 is 2519087256882.

28865278091520 is a `hidden beast` number, since 2 + 8 + 8 + 6 + 5 + 27 + 80 + 9 + 1 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23602025629 + ... + 23602026851.

It is an arithmetic number, because the mean of its divisors is an integer number (86798766600).

Almost surely, 2^{28865278091520} is an apocalyptic number.

28865278091520 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 28865278091520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56245600756800).

28865278091520 is an abundant number, since it is smaller than the sum of its proper divisors (83625923422080).

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

28865278091520 is a wasteful number, since it uses less digits than its factorization.

28865278091520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1734 (or 1695 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 63.

The spelling of 28865278091520 in words is "twenty-eight trillion, eight hundred sixty-five billion, two hundred seventy-eight million, ninety-one thousand, five hundred twenty".