83010928 has 160 divisors (see below), whose sum is σ = 221985792. Its totient is φ = 29030400.

The previous prime is 83010919. The next prime is 83010931. The reversal of 83010928 is 82901038.

It is a self number, because there is not a number n which added to its sum of digits gives 83010928.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1137100 + ... + 1137172.

Almost surely, 2^83010928 is an apocalyptic number.

83010928 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 83010928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110992896).

83010928 is an abundant number, since it is smaller than the sum of its proper divisors (138974864).

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

83010928 is a wasteful number, since it uses less digits than its factorization.

83010928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 83010928 is about 9111.0333113210. The cubic root of 83010928 is about 436.2262103649.

It can be divided in two parts, 83010 and 928, that added together give a palindrome (83938).

The spelling of 83010928 in words is "eighty-three million, ten thousand, nine hundred twenty-eight".