83428488 has 256 divisors, whose sum is σ = 283449600. Its totient is φ = 22394880.

The previous prime is 83428483. The next prime is 83428493. The reversal of 83428488 is 88482438.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (83428483) and next prime (83428493).

It is a super-2 number, since 2×83428488² = 13920625219932288, which contains 22 as substring.

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 (83428483) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1142820 + ... + 1142892.

It is an arithmetic number, because the mean of its divisors is an integer number (1107225).

Almost surely, 2^83428488 is an apocalyptic number.

83428488 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 83428488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141724800).

83428488 is an abundant number, since it is smaller than the sum of its proper divisors (200021112).

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

83428488 is a wasteful number, since it uses less digits than its factorization.

83428488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 139 counting only the distinct ones).

The product of its digits is 393216, while the sum is 45.

The square root of 83428488 is about 9133.9196405486. The cubic root of 83428488 is about 436.9564196461.

The spelling of 83428488 in words is "eighty-three million, four hundred twenty-eight thousand, four hundred eighty-eight".