83298428928 has 864 divisors, whose sum is σ = 303318124200. Its totient is φ = 21929656320.

The previous prime is 83298428923. The next prime is 83298428977. The reversal of 83298428928 is 82982489238.

83298428928 is a `hidden beast` number, since 8 + 32 + 98 + 428 + 92 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9644811264 + 73653617664 = 98208^2 + 271392^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83298428923) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4899907576 + ... + 4899907592.

Almost surely, 2^83298428928 is an apocalyptic number.

83298428928 is a gapful number since it is divisible by the number (88) 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 83298428928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151659062100).

83298428928 is an abundant number, since it is smaller than the sum of its proper divisors (220019695272).

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

83298428928 is a wasteful number, since it uses less digits than its factorization.

83298428928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 46 counting only the distinct ones).

The product of its digits is 31850496, while the sum is 63.

The spelling of 83298428928 in words is "eighty-three billion, two hundred ninety-eight million, four hundred twenty-eight thousand, nine hundred twenty-eight".