28281455267520 has 672 divisors, whose sum is σ = 112541032654848. Its totient is φ = 5964301099008.

The previous prime is 28281455267479. The next prime is 28281455267537. The reversal of 28281455267520 is 2576255418282.

It is a tau number, because it is divible by the number of its divisors (672).

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1481703417 + ... + 1481722503.

It is an arithmetic number, because the mean of its divisors is an integer number (167471774784).

Almost surely, 2^{28281455267520} is an apocalyptic number.

28281455267520 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 28281455267520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56270516327424).

28281455267520 is an abundant number, since it is smaller than the sum of its proper divisors (84259577387328).

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

28281455267520 is a wasteful number, since it uses less digits than its factorization.

28281455267520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21557 (or 21540 counting only the distinct ones).

The product of its (nonzero) digits is 21504000, while the sum is 57.

The spelling of 28281455267520 in words is "twenty-eight trillion, two hundred eighty-one billion, four hundred fifty-five million, two hundred sixty-seven thousand, five hundred twenty".