28272354618240 has 1280 divisors, whose sum is σ = 104004552960000. Its totient is φ = 7316998520832.

The previous prime is 28272354618227. The next prime is 28272354618253. The reversal of 28272354618240 is 4281645327282.

28272354618240 is a `hidden beast` number, since 2 + 8 + 2 + 72 + 3 + 546 + 1 + 8 + 24 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (28272354618227) and next prime (28272354618253).

It is a super-2 number, since 2×28272354618240² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 92092360167 + ... + 92092360473.

It is an arithmetic number, because the mean of its divisors is an integer number (81253557000).

Almost surely, 2^{28272354618240} is an apocalyptic number.

28272354618240 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 28272354618240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52002276480000).

28272354618240 is an abundant number, since it is smaller than the sum of its proper divisors (75732198341760).

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

28272354618240 is a wasteful number, since it uses less digits than its factorization.

28272354618240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 28272354618240 in words is "twenty-eight trillion, two hundred seventy-two billion, three hundred fifty-four million, six hundred eighteen thousand, two hundred forty".