83467128 has 64 divisors (see below), whose sum is σ = 220492800. Its totient is φ = 26288640.

The previous prime is 83467117. The next prime is 83467129. The reversal of 83467128 is 82176438.

It is a super-2 number, since 2×83467128² = 13933522913136768, which contains 22 as substring.

Its product of digits (64512) is a multiple of the sum of its prime divisors (2688).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83467129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30688 + ... + 33296.

It is an arithmetic number, because the mean of its divisors is an integer number (3445200).

Almost surely, 2^83467128 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 83467128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110246400).

83467128 is an abundant number, since it is smaller than the sum of its proper divisors (137025672).

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

83467128 is a wasteful number, since it uses less digits than its factorization.

83467128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2692 (or 2688 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 83467128 is about 9136.0345883759. The cubic root of 83467128 is about 437.0238681900.

The spelling of 83467128 in words is "eighty-three million, four hundred sixty-seven thousand, one hundred twenty-eight".