1838212992 has 768 divisors, whose sum is σ = 7423902720. Its totient is φ = 421724160.

The previous prime is 1838212967. The next prime is 1838213017. The reversal of 1838212992 is 2992128381.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1838212967) and next prime (1838213017).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34683238 + ... + 34683290.

It is an arithmetic number, because the mean of its divisors is an integer number (9666540).

Almost surely, 2^1838212992 is an apocalyptic number.

1838212992 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 1838212992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3711951360).

1838212992 is an abundant number, since it is smaller than the sum of its proper divisors (5585689728).

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

1838212992 is a wasteful number, since it uses less digits than its factorization.

1838212992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 116 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 1838212992 is about 42874.3861996880. The cubic root of 1838212992 is about 1224.9883085376.

The spelling of 1838212992 in words is "one billion, eight hundred thirty-eight million, two hundred twelve thousand, nine hundred ninety-two".