1997892288 has 252 divisors, whose sum is σ = 6762152592. Its totient is φ = 562222080.

The previous prime is 1997892287. The next prime is 1997892329. The reversal of 1997892288 is 8822987991.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-5 number, since 5×1997892288⁵ (a number of 48 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 (1997892287) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2003406 + ... + 2004402.

Almost surely, 2^1997892288 is an apocalyptic number.

1997892288 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 1997892288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3381076296).

1997892288 is an abundant number, since it is smaller than the sum of its proper divisors (4764260304).

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

1997892288 is a wasteful number, since it uses less digits than its factorization.

1997892288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1080 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 63.

The square root of 1997892288 is about 44697.7884016648. The cubic root of 1997892288 is about 1259.4783025418.

The spelling of 1997892288 in words is "one billion, nine hundred ninety-seven million, eight hundred ninety-two thousand, two hundred eighty-eight".