83928240 has 120 divisors (see below), whose sum is σ = 307511568. Its totient is φ = 20344320.

The previous prime is 83928239. The next prime is 83928241. The reversal of 83928240 is 4282938.

It is an interprime number because it is at equal distance from previous prime (83928239) and next prime (83928241).

It is a tau number, because it is divible by the number of its divisors (120).

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 = 83928195 and 83928204.

It is not an unprimeable number, because it can be changed into a prime (83928241) 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, 2622 + ... + 13218.

Almost surely, 2^83928240 is an apocalyptic number.

83928240 is a gapful number since it is divisible by the number (80) 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 83928240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153755784).

83928240 is an abundant number, since it is smaller than the sum of its proper divisors (223583328).

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

83928240 is a wasteful number, since it uses less digits than its factorization.

83928240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10627 (or 10618 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 83928240 is about 9161.2357245079. The cubic root of 83928240 is about 437.8271664375.

The spelling of 83928240 in words is "eighty-three million, nine hundred twenty-eight thousand, two hundred forty".