28007508672 has 280 divisors, whose sum is σ = 97540126992. Its totient is φ = 7834060800.

The previous prime is 28007508649. The next prime is 28007508709. The reversal of 28007508672 is 27680570082.

28007508672 is a `hidden beast` number, since 2 + 80 + 0 + 7 + 508 + 67 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 722422 + ... + 760202.

Almost surely, 2^28007508672 is an apocalyptic number.

28007508672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28007508672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48770063496).

28007508672 is an abundant number, since it is smaller than the sum of its proper divisors (69532618320).

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

28007508672 is a wasteful number, since it uses less digits than its factorization.

28007508672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37829 (or 37810 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 28007508672 in words is "twenty-eight billion, seven million, five hundred eight thousand, six hundred seventy-two".