28625497251840 has 1120 divisors, whose sum is σ = 108981923117760. Its totient is φ = 7163049148416.

The previous prime is 28625497251829. The next prime is 28625497251847. The reversal of 28625497251840 is 4815279452682.

28625497251840 is a `hidden beast` number, since 2 + 8 + 6 + 2 + 5 + 4 + 9 + 72 + 518 + 40 = 666.

It is a super-3 number, since 3×28625497251840³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28625497251847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28370165256 + ... + 28370166264.

It is an arithmetic number, because the mean of its divisors is an integer number (97305288498).

Almost surely, 2^{28625497251840} is an apocalyptic number.

28625497251840 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 28625497251840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54490961558880).

28625497251840 is an abundant number, since it is smaller than the sum of its proper divisors (80356425865920).

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

28625497251840 is a wasteful number, since it uses less digits than its factorization.

28625497251840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1572 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 28625497251840 in words is "twenty-eight trillion, six hundred twenty-five billion, four hundred ninety-seven million, two hundred fifty-one thousand, eight hundred forty".