28542144960 has 560 divisors, whose sum is σ = 118537841664. Its totient is φ = 6383204352.

The previous prime is 28542144941. The next prime is 28542144977. The reversal of 28542144960 is 6944124582.

It is a happy number.

28542144960 is a `hidden beast` number, since 2 + 8 + 542 + 1 + 4 + 49 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8526007 + ... + 8529353.

Almost surely, 2^28542144960 is an apocalyptic number.

28542144960 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 28542144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59268920832).

28542144960 is an abundant number, since it is smaller than the sum of its proper divisors (89995696704).

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

28542144960 is a wasteful number, since it uses less digits than its factorization.

28542144960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3430 (or 3411 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 28542144960 in words is "twenty-eight billion, five hundred forty-two million, one hundred forty-four thousand, nine hundred sixty".