28024333421760 has 1680 divisors, whose sum is σ = 116840432348640. Its totient is φ = 6333258792960.

The previous prime is 28024333421759. The next prime is 28024333421767. The reversal of 28024333421760 is 6712433342082.

28024333421760 is a `hidden beast` number, since 2 + 8 + 0 + 2 + 43 + 334 + 217 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (28024333421767) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3992635531 + ... + 3992642549.

It is an arithmetic number, because the mean of its divisors is an integer number (69547876398).

Almost surely, 2^{28024333421760} is an apocalyptic number.

28024333421760 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 28024333421760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58420216174320).

28024333421760 is an abundant number, since it is smaller than the sum of its proper divisors (88816098926880).

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

28024333421760 is a wasteful number, since it uses less digits than its factorization.

28024333421760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7136 (or 7100 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 28024333421760 in words is "twenty-eight trillion, twenty-four billion, three hundred thirty-three million, four hundred twenty-one thousand, seven hundred sixty".