1958998272 has 288 divisors, whose sum is σ = 6572719104. Its totient is φ = 503193600.

The previous prime is 1958998271. The next prime is 1958998291. The reversal of 1958998272 is 2728998591.

Its product of digits (6531840) is a multiple of the sum of its prime factors (405).

It is not an unprimeable number, because it can be changed into a prime (1958998271) 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 31 ways as a sum of consecutive naturals, for example, 9284247 + ... + 9284457.

Almost surely, 2^1958998272 is an apocalyptic number.

1958998272 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 1958998272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3286359552).

1958998272 is an abundant number, since it is smaller than the sum of its proper divisors (4613720832).

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

1958998272 is a wasteful number, since it uses less digits than its factorization.

1958998272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 391 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 60.

The square root of 1958998272 is about 44260.5724319060. The cubic root of 1958998272 is about 1251.2517108509.

The spelling of 1958998272 in words is "one billion, nine hundred fifty-eight million, nine hundred ninety-eight thousand, two hundred seventy-two".