28226983680 has 1440 divisors, whose sum is σ = 128212761600. Its totient is φ = 5780865024.

The previous prime is 28226983639. The next prime is 28226983693. The reversal of 28226983680 is 8638962282.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 5340 × 5244 × 1008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 317157076 + ... + 317157164.

It is an arithmetic number, because the mean of its divisors is an integer number (89036640).

Almost surely, 2^28226983680 is an apocalyptic number.

28226983680 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 28226983680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64106380800).

28226983680 is an abundant number, since it is smaller than the sum of its proper divisors (99985777920).

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

28226983680 is a wasteful number, since it uses less digits than its factorization.

28226983680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 28226983680 in words is "twenty-eight billion, two hundred twenty-six million, nine hundred eighty-three thousand, six hundred eighty".