28205624724480 has 2112 divisors, whose sum is σ = 124487365017600. Its totient is φ = 5760622264320.

The previous prime is 28205624724467. The next prime is 28205624724517. The reversal of 28205624724480 is 8442742650282.

It is a happy number.

28205624724480 is a `hidden beast` number, since 2 + 8 + 2 + 0 + 5 + 624 + 7 + 2 + 4 + 4 + 8 + 0 = 666.

It is a super-2 number, since 2×28205624724480² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) 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 (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6669571006 + ... + 6669575234.

Almost surely, 2^{28205624724480} is an apocalyptic number.

28205624724480 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 28205624724480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62243682508800).

28205624724480 is an abundant number, since it is smaller than the sum of its proper divisors (96281740293120).

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

28205624724480 is a wasteful number, since it uses less digits than its factorization.

28205624724480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4350 (or 4329 counting only the distinct ones).

The product of its (nonzero) digits is 13762560, while the sum is 54.

The spelling of 28205624724480 in words is "twenty-eight trillion, two hundred five billion, six hundred twenty-four million, seven hundred twenty-four thousand, four hundred eighty".