28405371456 has 672 divisors, whose sum is σ = 105190625280. Its totient is φ = 7175900160.

The previous prime is 28405371439. The next prime is 28405371487. The reversal of 28405371456 is 65417350482.

28405371456 is a `hidden beast` number, since 2 + 84 + 0 + 53 + 71 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 359561625 + ... + 359561703.

Almost surely, 2^28405371456 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 28405371456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52595312640).

28405371456 is an abundant number, since it is smaller than the sum of its proper divisors (76785253824).

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

28405371456 is a wasteful number, since it uses less digits than its factorization.

28405371456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 28405371456 in words is "twenty-eight billion, four hundred five million, three hundred seventy-one thousand, four hundred fifty-six".