28292546304 has 216 divisors, whose sum is σ = 91863442944. Its totient is φ = 8296704000.

The previous prime is 28292546291. The next prime is 28292546309. The reversal of 28292546304 is 40364529282.

28292546304 is a `hidden beast` number, since 2 + 8 + 2 + 9 + 2 + 5 + 4 + 630 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 28292546304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28292546309) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 767659 + ... + 803669.

Almost surely, 2^28292546304 is an apocalyptic number.

28292546304 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 28292546304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45931721472).

28292546304 is an abundant number, since it is smaller than the sum of its proper divisors (63570896640).

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

28292546304 is a wasteful number, since it uses less digits than its factorization.

28292546304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36075 (or 36058 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 28292546304 in words is "twenty-eight billion, two hundred ninety-two million, five hundred forty-six thousand, three hundred four".