25828600 has 96 divisors (see below), whose sum is σ = 72316800. Its totient is φ = 8380800.

The previous prime is 25828597. The next prime is 25828603. The reversal of 25828600 is 682852.

It is an interprime number because it is at equal distance from previous prime (25828597) and next prime (25828603).

It is a super-5 number, since 5×25828600⁵ (a number of 38 digits) contains 55555 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25828603) 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, 26115 + ... + 27085.

It is an arithmetic number, because the mean of its divisors is an integer number (753300).

Almost surely, 2^25828600 is an apocalyptic number.

25828600 is a gapful number since it is divisible by the number (20) 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 25828600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36158400).

25828600 is an abundant number, since it is smaller than the sum of its proper divisors (46488200).

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

25828600 is a wasteful number, since it uses less digits than its factorization.

25828600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 25828600 is about 5082.1845696511. The cubic root of 25828600 is about 295.5971815501.

The spelling of 25828600 in words is "twenty-five million, eight hundred twenty-eight thousand, six hundred".