983290752 has 192 divisors, whose sum is σ = 2972838960. Its totient is φ = 323481600.

The previous prime is 983290747. The next prime is 983290753. The reversal of 983290752 is 257092389.

983290752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 983290698 and 983290707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (983290753) 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, 3141348 + ... + 3141660.

Almost surely, 2^983290752 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 983290752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486419480).

983290752 is an abundant number, since it is smaller than the sum of its proper divisors (1989548208).

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

983290752 is a wasteful number, since it uses less digits than its factorization.

983290752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 983290752 is about 31357.4672446612. The cubic root of 983290752 is about 994.3989373357.

The spelling of 983290752 in words is "nine hundred eighty-three million, two hundred ninety thousand, seven hundred fifty-two".