28813353408 has 336 divisors, whose sum is σ = 99167777280. Its totient is φ = 7820347392.

The previous prime is 28813353389. The next prime is 28813353421. The reversal of 28813353408 is 80435331882.

28813353408 is a `hidden beast` number, since 2 + 8 + 81 + 33 + 534 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×28813353408² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14558563 + ... + 14560541.

Almost surely, 2^28813353408 is an apocalyptic number.

28813353408 is a gapful number since it is divisible by the number (28) 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 28813353408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49583888640).

28813353408 is an abundant number, since it is smaller than the sum of its proper divisors (70354423872).

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

28813353408 is a wasteful number, since it uses less digits than its factorization.

28813353408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2184 (or 2171 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 28813353408 in words is "twenty-eight billion, eight hundred thirteen million, three hundred fifty-three thousand, four hundred eight".