1981828992 has 384 divisors, whose sum is σ = 6632146080. Its totient is φ = 519045120.

The previous prime is 1981828973. The next prime is 1981829011. The reversal of 1981828992 is 2998281891.

It is an interprime number because it is at equal distance from previous prime (1981828973) and next prime (1981829011).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10268448 + ... + 10268640.

Almost surely, 2^1981828992 is an apocalyptic number.

1981828992 is a gapful number since it is divisible by the number (12) 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 1981828992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3316073040).

1981828992 is an abundant number, since it is smaller than the sum of its proper divisors (4650317088).

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

1981828992 is a wasteful number, since it uses less digits than its factorization.

1981828992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 239 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 57.

The square root of 1981828992 is about 44517.7379479236. The cubic root of 1981828992 is about 1256.0937628624.

The spelling of 1981828992 in words is "one billion, nine hundred eighty-one million, eight hundred twenty-eight thousand, nine hundred ninety-two".