1982726928 has 360 divisors, whose sum is σ = 6994945152. Its totient is φ = 513257472.

The previous prime is 1982726927. The next prime is 1982726951. The reversal of 1982726928 is 8296272891.

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 (1982726927) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17546200 + ... + 17546312.

Almost surely, 2^1982726928 is an apocalyptic number.

1982726928 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 1982726928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3497472576).

1982726928 is an abundant number, since it is smaller than the sum of its proper divisors (5012218224).

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

1982726928 is a wasteful number, since it uses less digits than its factorization.

1982726928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 241 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 1982726928 is about 44527.8219543692. The cubic root of 1982726928 is about 1256.2834397574.

The spelling of 1982726928 in words is "one billion, nine hundred eighty-two million, seven hundred twenty-six thousand, nine hundred twenty-eight".