28962664128 has 336 divisors, whose sum is σ = 89347121280. Its totient is φ = 9198696960.

The previous prime is 28962664127. The next prime is 28962664201. The reversal of 28962664128 is 82146626982.

28962664128 is a `hidden beast` number, since 2 + 8 + 9 + 626 + 6 + 4 + 1 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (28962664127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177684975 + ... + 177685137.

Almost surely, 2^28962664128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28962664128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44673560640).

28962664128 is an abundant number, since it is smaller than the sum of its proper divisors (60384457152).

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

28962664128 is a wasteful number, since it uses less digits than its factorization.

28962664128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 306 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 28962664128 in words is "twenty-eight billion, nine hundred sixty-two million, six hundred sixty-four thousand, one hundred twenty-eight".