28285416432 has 600 divisors, whose sum is σ = 106754060160. Its totient is φ = 7059985920.

The previous prime is 28285416427. The next prime is 28285416457. The reversal of 28285416432 is 23461458282.

28285416432 is a `hidden beast` number, since 28 + 28 + 541 + 64 + 3 + 2 = 666.

It is a super-2 number, since 2×28285416432² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 29129707 + ... + 29130677.

Almost surely, 2^28285416432 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 28285416432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53377030080).

28285416432 is an abundant number, since it is smaller than the sum of its proper divisors (78468643728).

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

28285416432 is a wasteful number, since it uses less digits than its factorization.

28285416432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1015 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The spelling of 28285416432 in words is "twenty-eight billion, two hundred eighty-five million, four hundred sixteen thousand, four hundred thirty-two".