983228240 has 80 divisors (see below), whose sum is σ = 2392513536. Its totient is φ = 375321600.

The previous prime is 983228237. The next prime is 983228249. The reversal of 983228240 is 42822389.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 983228194 and 983228203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (983228249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178325 + ... + 183755.

Almost surely, 2^983228240 is an apocalyptic number.

983228240 is the 18104-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 983228240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1196256768).

983228240 is an abundant number, since it is smaller than the sum of its proper divisors (1409285296).

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

983228240 is a wasteful number, since it uses less digits than its factorization.

983228240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5548 (or 5542 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 983228240 is about 31356.4704646425. The cubic root of 983228240 is about 994.3778641575.

The spelling of 983228240 in words is "nine hundred eighty-three million, two hundred twenty-eight thousand, two hundred forty".