98837280 has 192 divisors, whose sum is σ = 350542080. Its totient is φ = 26007552.

The previous prime is 98837267. The next prime is 98837293. The reversal of 98837280 is 8273889.

It is an interprime number because it is at equal distance from previous prime (98837267) and next prime (98837293).

It is a super-3 number, since 3×98837280³ (a number of 25 digits) contains 333 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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 591757 + ... + 591923.

It is an arithmetic number, because the mean of its divisors is an integer number (1825740).

Almost surely, 2^98837280 is an apocalyptic number.

98837280 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 98837280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175271040).

98837280 is an abundant number, since it is smaller than the sum of its proper divisors (251704800).

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

98837280 is a wasteful number, since it uses less digits than its factorization.

98837280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 98837280 is about 9941.6940206385. The cubic root of 98837280 is about 462.3529096412.

The spelling of 98837280 in words is "ninety-eight million, eight hundred thirty-seven thousand, two hundred eighty".