28400967936 has 432 divisors, whose sum is σ = 94802093568. Its totient is φ = 8095334400.

The previous prime is 28400967871. The next prime is 28400967977. The reversal of 28400967936 is 63976900482.

It is a happy number.

It is a super-2 number, since 2×28400967936² (a number of 22 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 29069080 + ... + 29070056.

Almost surely, 2^28400967936 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 28400967936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47401046784).

28400967936 is an abundant number, since it is smaller than the sum of its proper divisors (66401125632).

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

28400967936 is a wasteful number, since it uses less digits than its factorization.

28400967936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 28400967936 in words is "twenty-eight billion, four hundred million, nine hundred sixty-seven thousand, nine hundred thirty-six".