28188152591040 has 2240 divisors, whose sum is σ = 116970083112960. Its totient is φ = 6390961274880.

The previous prime is 28188152591029. The next prime is 28188152591057. The reversal of 28188152591040 is 4019525188182.

28188152591040 is a `hidden beast` number, since 2 + 8 + 1 + 8 + 8 + 1 + 5 + 2 + 591 + 0 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 19162577505 + ... + 19162578975.

It is an arithmetic number, because the mean of its divisors is an integer number (52218787104).

Almost surely, 2^{28188152591040} is an apocalyptic number.

28188152591040 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 28188152591040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58485041556480).

28188152591040 is an abundant number, since it is smaller than the sum of its proper divisors (88781930521920).

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

28188152591040 is a wasteful number, since it uses less digits than its factorization.

28188152591040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1632 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 54.

The spelling of 28188152591040 in words is "twenty-eight trillion, one hundred eighty-eight billion, one hundred fifty-two million, five hundred ninety-one thousand, forty".