28416626784 has 576 divisors, whose sum is σ = 105670656000. Its totient is φ = 7033982976.

The previous prime is 28416626773. The next prime is 28416626789. The reversal of 28416626784 is 48762661482.

It is a happy number.

28416626784 is a `hidden beast` number, since 2 + 8 + 4 + 1 + 6 + 626 + 7 + 8 + 4 = 666.

It is a super-2 number, since 2×28416626784² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (6193152) is a multiple of the sum of its prime divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 28416626784.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28416626789) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74194657 + ... + 74195039.

It is an arithmetic number, because the mean of its divisors is an integer number (183456000).

Almost surely, 2^28416626784 is an apocalyptic number.

28416626784 is a gapful number since it is divisible by the number (24) 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 28416626784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52835328000).

28416626784 is an abundant number, since it is smaller than the sum of its proper divisors (77254029216).

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

28416626784 is a wasteful number, since it uses less digits than its factorization.

28416626784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 576 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The spelling of 28416626784 in words is "twenty-eight billion, four hundred sixteen million, six hundred twenty-six thousand, seven hundred eighty-four".