28495713153600 has 4536 divisors, whose sum is σ = 142055717305320. Its totient is φ = 5372765798400.

The previous prime is 28495713153581. The next prime is 28495713153619. The reversal of 28495713153600 is 635131759482.

It is a happy number.

28495713153600 is a `hidden beast` number, since 2 + 8 + 4 + 9 + 5 + 7 + 13 + 15 + 3 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (28495713153581) and next prime (28495713153619).

It can be written as a sum of positive squares in 12 ways, for example, as 11887977024 + 28483825176576 = 109032^2 + 5337024^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 42091156462 + ... + 42091157138.

It is an arithmetic number, because the mean of its divisors is an integer number (31317397995).

It is a 1-persistent number, because it is pandigital, but 2⋅28495713153600 = 56991426307200 is not.

Almost surely, 2^{28495713153600} is an apocalyptic number.

28495713153600 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 28495713153600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71027858652660).

28495713153600 is an abundant number, since it is smaller than the sum of its proper divisors (113560004151720).

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

28495713153600 is a wasteful number, since it uses less digits than its factorization.

28495713153600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 28495713153600 in words is "twenty-eight trillion, four hundred ninety-five billion, seven hundred thirteen million, one hundred fifty-three thousand, six hundred".