25828500 has 96 divisors (see below), whose sum is σ = 76632192. Its totient is φ = 6758400.

The previous prime is 25828499. The next prime is 25828507. The reversal of 25828500 is 582852.

It is a super-3 number, since 3×25828500³ (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25828507) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100372 + ... + 100628.

It is an arithmetic number, because the mean of its divisors is an integer number (798252).

Almost surely, 2^25828500 is an apocalyptic number.

25828500 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 25828500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38316096).

25828500 is an abundant number, since it is smaller than the sum of its proper divisors (50803692).

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

25828500 is a wasteful number, since it uses less digits than its factorization.

25828500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 25828500 is about 5082.1747313527. The cubic root of 25828500 is about 295.5968000640.

The spelling of 25828500 in words is "twenty-five million, eight hundred twenty-eight thousand, five hundred".