98513280 has 128 divisors (see below), whose sum is σ = 348962400. Its totient is φ = 26265600.

The previous prime is 98513267. The next prime is 98513323. The reversal of 98513280 is 8231589.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 14430 + ... + 20130.

Almost surely, 2^98513280 is an apocalyptic number.

98513280 is a gapful number since it is divisible by the number (90) 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 98513280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174481200).

98513280 is an abundant number, since it is smaller than the sum of its proper divisors (250449120).

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

98513280 is a wasteful number, since it uses less digits than its factorization.

98513280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5729 (or 5711 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 98513280 is about 9925.3856348255. The cubic root of 98513280 is about 461.8471411995.

It can be divided in two parts, 9851 and 3280, that added together give a palindrome (13131).

The spelling of 98513280 in words is "ninety-eight million, five hundred thirteen thousand, two hundred eighty".