98280 has 128 divisors (see below), whose sum is σ = 403200. Its totient is φ = 20736.

The previous prime is 98269. The next prime is 98297. The reversal of 98280 is 8289.

98280 = T₂₉ + T₃₀ + ... + T₈₄.

98280 is a nontrivial binomial coefficient, being equal to C(28, 5).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a congruent number.

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, 7554 + ... + 7566.

It is an arithmetic number, because the mean of its divisors is an integer number (3150).

2⁹⁸²⁸⁰ is an apocalyptic number.

98280 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 98280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201600).

98280 is an abundant number, since it is smaller than the sum of its proper divisors (304920).

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

98280 is a wasteful number, since it uses less digits than its factorization.

98280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 98280 is about 313.4964114627. The cubic root of 98280 is about 46.1482300859.

It can be divided in two parts, 98 and 280, that added together give a triangular number (378 = T₂₇).

The spelling of 98280 in words is "ninety-eight thousand, two hundred eighty".