28292918976 has 560 divisors, whose sum is σ = 101259924480. Its totient is φ = 7636654080.

The previous prime is 28292918959. The next prime is 28292918977. The reversal of 28292918976 is 67981929282.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is not an unprimeable number, because it can be changed into a prime (28292918977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 90973861 + ... + 90974171.

Almost surely, 2^28292918976 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 28292918976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50629962240).

28292918976 is an abundant number, since it is smaller than the sum of its proper divisors (72967005504).

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

28292918976 is a wasteful number, since it uses less digits than its factorization.

28292918976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 455 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 63.

The spelling of 28292918976 in words is "twenty-eight billion, two hundred ninety-two million, nine hundred eighteen thousand, nine hundred seventy-six".