Search a number
10499328 = 28337231

10499328 has 216 divisors, whose sum is σ = 37282560. Its totient is φ = 2903040.

The previous prime is 10499327. The next prime is 10499329. The reversal of 10499328 is 82399401.

It is an interprime number because it is at equal distance from previous prime (10499327) and next prime (10499329).

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×104993282 = 220471776903168, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10499292 and 10499301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10499323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 338673 + ... + 338703.

Almost surely, 210499328 is an apocalyptic number.

10499328 is a gapful number since it is divisible by the number (18) 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 10499328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18641280).

10499328 is an abundant number, since it is smaller than the sum of its proper divisors (26783232).

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

10499328 is an equidigital number, since it uses as much as digits as its factorization.

10499328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 10499328 is about 3240.2666556936. The cubic root of 10499328 is about 218.9712854076.

The spelling of 10499328 in words is "ten million, four hundred ninety-nine thousand, three hundred twenty-eight".