28689651035136 has 1056 divisors, whose sum is σ = 106769279239168. Its totient is φ = 7492431052800.

The previous prime is 28689651035117. The next prime is 28689651035159. The reversal of 28689651035136 is 63153015698682.

It is a happy number.

28689651035136 is a `hidden beast` number, since 2 + 8 + 6 + 8 + 9 + 6 + 5 + 103 + 513 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2332296186 + ... + 2332308486.

Almost surely, 2^{28689651035136} is an apocalyptic number.

28689651035136 is a gapful number since it is divisible by the number (26) 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 28689651035136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53384639619584).

28689651035136 is an abundant number, since it is smaller than the sum of its proper divisors (78079628204032).

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

28689651035136 is a wasteful number, since it uses less digits than its factorization.

28689651035136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12459 (or 12429 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 28689651035136 in words is "twenty-eight trillion, six hundred eighty-nine billion, six hundred fifty-one million, thirty-five thousand, one hundred thirty-six".