83008728 has 96 divisors (see below), whose sum is σ = 247141440. Its totient is φ = 24960960.

The previous prime is 83008661. The next prime is 83008729. The reversal of 83008728 is 82780038.

It is a super-3 number, since 3×83008728³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 83008692 and 83008701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83008729) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128775 + ... + 129417.

It is an arithmetic number, because the mean of its divisors is an integer number (2574390).

Almost surely, 2^83008728 is an apocalyptic number.

83008728 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 83008728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123570720).

83008728 is an abundant number, since it is smaller than the sum of its proper divisors (164132712).

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

83008728 is a wasteful number, since it uses less digits than its factorization.

83008728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 83008728 is about 9110.9125777828. The cubic root of 83008728 is about 436.2223566308. Note that the first 3 decimals are identical.

The spelling of 83008728 in words is "eighty-three million, eight thousand, seven hundred twenty-eight".