997928100 has 297 divisors, whose sum is σ = 3517322403. Its totient is φ = 245643840.

The previous prime is 997928053. The next prime is 997928123. The reversal of 997928100 is 1829799.

The square root of 997928100 is 31590.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 257217444 + 740710656 = 16038^2 + 27216^2 .

It is a super-2 number, since 2×997928100² = 1991720985539220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 76763694 + ... + 76763706.

Almost surely, 2^997928100 is an apocalyptic number.

997928100 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

997928100 is the 31590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 997928100

997928100 is an abundant number, since it is smaller than the sum of its proper divisors (2519394303).

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

997928100 is a wasteful number, since it uses less digits than its factorization.

997928100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The cubic root of 997928100 is about 999.3088891425.

The spelling of 997928100 in words is "nine hundred ninety-seven million, nine hundred twenty-eight thousand, one hundred".