28412169120 has 360 divisors, whose sum is σ = 101750492844. Its totient is φ = 7466287104.

The previous prime is 28412169113. The next prime is 28412169133. The reversal of 28412169120 is 2196121482.

It can be written as a sum of positive squares in 6 ways, for example, as 6637035024 + 21775134096 = 81468^2 + 147564^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 121940524 + ... + 121940756.

Almost surely, 2^28412169120 is an apocalyptic number.

28412169120 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 28412169120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50875246422).

28412169120 is an abundant number, since it is smaller than the sum of its proper divisors (73338323724).

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

28412169120 is an equidigital number, since it uses as much as digits as its factorization.

28412169120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 28412169120 in words is "twenty-eight billion, four hundred twelve million, one hundred sixty-nine thousand, one hundred twenty".