83028240 has 120 divisors (see below), whose sum is σ = 289231488. Its totient is φ = 22135680.

The previous prime is 83028223. The next prime is 83028241. The reversal of 83028240 is 4282038.

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 (27).

It is not an unprimeable number, because it can be changed into a prime (83028241) 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, 17305 + ... + 21575.

Almost surely, 2^83028240 is an apocalyptic number.

83028240 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 83028240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144615744).

83028240 is an abundant number, since it is smaller than the sum of its proper divisors (206203248).

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

83028240 is a wasteful number, since it uses less digits than its factorization.

83028240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4299 (or 4281 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 83028240 is about 9111.9833186853. The cubic root of 83028240 is about 436.2565333734.

The spelling of 83028240 in words is "eighty-three million, twenty-eight thousand, two hundred forty".