28527011798040 has 576 divisors, whose sum is σ = 110782540028160. Its totient is φ = 6467068408320.

The previous prime is 28527011798003. The next prime is 28527011798041. The reversal of 28527011798040 is 4089711072582.

28527011798040 is a `hidden beast` number, since 2 + 8 + 527 + 0 + 1 + 1 + 79 + 8 + 0 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28527011798041) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15945785466 + ... + 15945787254.

It is an arithmetic number, because the mean of its divisors is an integer number (192330798660).

Almost surely, 2^{28527011798040} is an apocalyptic number.

28527011798040 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 28527011798040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55391270014080).

28527011798040 is an abundant number, since it is smaller than the sum of its proper divisors (82255528230120).

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

28527011798040 is an equidigital number, since it uses as much as digits as its factorization.

28527011798040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3742 (or 1937 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 28527011798040 in words is "twenty-eight trillion, five hundred twenty-seven billion, eleven million, seven hundred ninety-eight thousand, forty".