1982232648 has 252 divisors, whose sum is σ = 6242871705. Its totient is φ = 589343040.

The previous prime is 1982232601. The next prime is 1982232649. The reversal of 1982232648 is 8462322891.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 1880263044 + 101969604 = 43362^2 + 10098^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=31482.

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

It is not an unprimeable number, because it can be changed into a prime (1982232649) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 37400590 + ... + 37400642.

Almost surely, 2^1982232648 is an apocalyptic number.

1982232648 is a gapful number since it is divisible by the number (18) 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 1982232648

1982232648 is an abundant number, since it is smaller than the sum of its proper divisors (4260639057).

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

1982232648 is an equidigital number, since it uses as much as digits as its factorization.

1982232648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 69 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 1982232648 is about 44522.2713706298. The cubic root of 1982232648 is about 1256.1790368469.

The spelling of 1982232648 in words is "one billion, nine hundred eighty-two million, two hundred thirty-two thousand, six hundred forty-eight".