28131618240 has 672 divisors, whose sum is σ = 109586670336. Its totient is φ = 6564741120.

The previous prime is 28131618227. The next prime is 28131618293. The reversal of 28131618240 is 4281613182.

28131618240 is a `hidden beast` number, since 2 + 8 + 1 + 31 + 618 + 2 + 4 + 0 = 666.

It is a super-2 number, since 2×28131618240² (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 28131618195 and 28131618204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 145759584 + ... + 145759776.

Almost surely, 2^28131618240 is an apocalyptic number.

28131618240 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 28131618240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54793335168).

28131618240 is an abundant number, since it is smaller than the sum of its proper divisors (81455052096).

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

28131618240 is a wasteful number, since it uses less digits than its factorization.

28131618240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 28131618240 in words is "twenty-eight billion, one hundred thirty-one million, six hundred eighteen thousand, two hundred forty".