28155396672 has 336 divisors, whose sum is σ = 89619265008. Its totient is φ = 8396144640.

The previous prime is 28155396653. The next prime is 28155396691. The reversal of 28155396672 is 27669355182.

28155396672 is a `hidden beast` number, since 2 + 81 + 553 + 9 + 6 + 6 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (28155396653) and next prime (28155396691).

It can be written as a sum of positive squares in 8 ways, for example, as 7804662336 + 20350734336 = 88344^2 + 142656^2 .

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, 89953188 + ... + 89953500.

It is an arithmetic number, because the mean of its divisors is an integer number (266724003).

Almost surely, 2^28155396672 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 28155396672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44809632504).

28155396672 is an abundant number, since it is smaller than the sum of its proper divisors (61463868336).

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

28155396672 is a wasteful number, since it uses less digits than its factorization.

28155396672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 665 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

It can be divided in two parts, 281553 and 96672, that added together give a square (378225 = 615²).

The spelling of 28155396672 in words is "twenty-eight billion, one hundred fifty-five million, three hundred ninety-six thousand, six hundred seventy-two".