28267020288 has 384 divisors, whose sum is σ = 90027788760. Its totient is φ = 8493465600.

The previous prime is 28267020269. The next prime is 28267020319. The reversal of 28267020288 is 88202076282.

It is a happy number.

28267020288 is a `hidden beast` number, since 282 + 6 + 70 + 20 + 288 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 26384154624 + 1882865664 = 162432^2 + 43392^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 279871438 + ... + 279871538.

Almost surely, 2^28267020288 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 28267020288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45013894380).

28267020288 is an abundant number, since it is smaller than the sum of its proper divisors (61760768472).

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

28267020288 is a wasteful number, since it uses less digits than its factorization.

28267020288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 28267020288 in words is "twenty-eight billion, two hundred sixty-seven million, twenty thousand, two hundred eighty-eight".