28372263828480 has 4224 divisors, whose sum is σ = 127390711910400. Its totient is φ = 5999677931520.

The previous prime is 28372263828443. The next prime is 28372263828521. The reversal of 28372263828480 is 8482836227382.

It is a happy number.

28372263828480 is a `hidden beast` number, since 2 + 8 + 3 + 72 + 2 + 6 + 3 + 82 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

It is a super-3 number, since 3×28372263828480³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 603665187817 + ... + 603665187863.

Almost surely, 2^{28372263828480} is an apocalyptic number.

28372263828480 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 28372263828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63695355955200).

28372263828480 is an abundant number, since it is smaller than the sum of its proper divisors (99018448081920).

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

28372263828480 is a wasteful number, since it uses less digits than its factorization.

28372263828480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 99090432, while the sum is 63.

The spelling of 28372263828480 in words is "twenty-eight trillion, three hundred seventy-two billion, two hundred sixty-three million, eight hundred twenty-eight thousand, four hundred eighty".