28149480282672 has 240 divisors, whose sum is σ = 90545728535808. Its totient is φ = 7996979612160.

The previous prime is 28149480282647. The next prime is 28149480282683. The reversal of 28149480282672 is 27628208494182.

28149480282672 is a `hidden beast` number, since 2 + 8 + 1 + 4 + 9 + 480 + 2 + 82 + 6 + 72 = 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 47 ways as a sum of consecutive naturals, for example, 2051256003 + ... + 2051269725.

Almost surely, 2^{28149480282672} 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 28149480282672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45272864267904).

28149480282672 is an abundant number, since it is smaller than the sum of its proper divisors (62396248253136).

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

28149480282672 is a wasteful number, since it uses less digits than its factorization.

28149480282672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25168 (or 25159 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 28149480282672 in words is "twenty-eight trillion, one hundred forty-nine billion, four hundred eighty million, two hundred eighty-two thousand, six hundred seventy-two".