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98928 = 2433229
BaseRepresentation
bin11000001001110000
312000201000
4120021300
511131203
62042000
7561264
oct301160
9160630
1098928
1168365
1249300
133604b
14280a4
151e4a3
hex18270

98928 has 40 divisors (see below), whose sum is σ = 285200. Its totient is φ = 32832.

The previous prime is 98927. The next prime is 98929. The reversal of 98928 is 82989.

It is an interprime number because it is at equal distance from previous prime (98927) and next prime (98929).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 98892 and 98901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 318 + ... + 546.

It is an arithmetic number, because the mean of its divisors is an integer number (7130).

298928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142600).

98928 is an abundant number, since it is smaller than the sum of its proper divisors (186272).

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

98928 is a wasteful number, since it uses less digits than its factorization.

98928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 234 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 98928 is about 314.5282181299. The cubic root of 98928 is about 46.2494326690.

The spelling of 98928 in words is "ninety-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 229 432 458 687 916 1374 1832 2061 2748 3664 4122 5496 6183 8244 10992 12366 16488 24732 32976 49464 98928