983428992 has 512 divisors, whose sum is σ = 3701376000. Its totient is φ = 250159104.

The previous prime is 983428967. The next prime is 983428997. The reversal of 983428992 is 299824389.

It is a happy number.

It is a super-2 number, since 2×983428992² = 1934265164612272128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (983428997) 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 63 ways as a sum of consecutive naturals, for example, 16668259 + ... + 16668317.

It is an arithmetic number, because the mean of its divisors is an integer number (7229250).

Almost surely, 2^983428992 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 983428992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1850688000).

983428992 is an abundant number, since it is smaller than the sum of its proper divisors (2717947008).

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

983428992 is a wasteful number, since it uses less digits than its factorization.

983428992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 137 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 983428992 is about 31359.6714268501. The cubic root of 983428992 is about 994.4455357154.

The spelling of 983428992 in words is "nine hundred eighty-three million, four hundred twenty-eight thousand, nine hundred ninety-two".