28542417120 has 960 divisors, whose sum is σ = 125578252800. Its totient is φ = 5957038080.

The previous prime is 28542417119. The next prime is 28542417133. The reversal of 28542417120 is 2171424582.

28542417120 is a `hidden beast` number, since 2 + 8 + 542 + 41 + 71 + 2 + 0 = 666.

It is a super-4 number, since 4×28542417120⁴ (a number of 43 digits) contains 4444 as substring.

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

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, 49986435 + ... + 49987005.

It is an arithmetic number, because the mean of its divisors is an integer number (130810680).

Almost surely, 2^28542417120 is an apocalyptic number.

28542417120 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 28542417120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62789126400).

28542417120 is an abundant number, since it is smaller than the sum of its proper divisors (97035835680).

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

28542417120 is a wasteful number, since it uses less digits than its factorization.

28542417120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 28542417120 in words is "twenty-eight billion, five hundred forty-two million, four hundred seventeen thousand, one hundred twenty".