1982929728 has 168 divisors, whose sum is σ = 5930359488. Its totient is φ = 583385088.

The previous prime is 1982929727. The next prime is 1982929769. The reversal of 1982929728 is 8279292891.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1982929727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 744976 + ... + 747632.

Almost surely, 2^1982929728 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 1982929728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2965179744).

1982929728 is an abundant number, since it is smaller than the sum of its proper divisors (3947429760).

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

1982929728 is a wasteful number, since it uses less digits than its factorization.

1982929728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2721 (or 2698 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 57.

The square root of 1982929728 is about 44530.0991240756. The cubic root of 1982929728 is about 1256.3262706001.

The spelling of 1982929728 in words is "one billion, nine hundred eighty-two million, nine hundred twenty-nine thousand, seven hundred twenty-eight".