28970127482688 has 224 divisors, whose sum is σ = 98535148542720. Its totient is φ = 8277179000832.

The previous prime is 28970127482677. The next prime is 28970127482701. The reversal of 28970127482688 is 88628472107982.

28970127482688 is a `hidden beast` number, since 2 + 8 + 9 + 70 + 12 + 7 + 482 + 68 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13804281 + ... + 15763832.

Almost surely, 2^{28970127482688} is an apocalyptic number.

28970127482688 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

28970127482688 is an abundant number, since it is smaller than the sum of its proper divisors (69565021060032).

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

28970127482688 is an frugal number, since it uses more digits than its factorization.

28970127482688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29568153 (or 29568125 counting only the distinct ones).

The product of its (nonzero) digits is 346816512, while the sum is 72.

The spelling of 28970127482688 in words is "twenty-eight trillion, nine hundred seventy billion, one hundred twenty-seven million, four hundred eighty-two thousand, six hundred eighty-eight".