83228040 has 256 divisors, whose sum is σ = 323136000. Its totient is φ = 18662400.

The previous prime is 83228011. The next prime is 83228069. The reversal of 83228040 is 4082238.

It is an interprime number because it is at equal distance from previous prime (83228011) and next prime (83228069).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 83227995 and 83228013.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 763506 + ... + 763614.

It is an arithmetic number, because the mean of its divisors is an integer number (1262250).

Almost surely, 2^83228040 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 83228040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161568000).

83228040 is an abundant number, since it is smaller than the sum of its proper divisors (239907960).

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

83228040 is a wasteful number, since it uses less digits than its factorization.

83228040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 227 counting only the distinct ones).

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

The square root of 83228040 is about 9122.9403154904. The cubic root of 83228040 is about 436.6061904347.

The spelling of 83228040 in words is "eighty-three million, two hundred twenty-eight thousand, forty".