25628946 has 64 divisors (see below), whose sum is σ = 62650368. Its totient is φ = 6830208.

The previous prime is 25628921. The next prime is 25628947. The reversal of 25628946 is 64982652.

25628946 = 185² + 186² + ... + 436².

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 25628898 and 25628907.

It is not an unprimeable number, because it can be changed into a prime (25628947) 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, 41230 + ... + 41846.

It is an arithmetic number, because the mean of its divisors is an integer number (978912).

Almost surely, 2^25628946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25628946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31325184).

25628946 is an abundant number, since it is smaller than the sum of its proper divisors (37021422).

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

25628946 is a wasteful number, since it uses less digits than its factorization.

25628946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695.

The product of its digits is 207360, while the sum is 42.

The square root of 25628946 is about 5062.5039259244. The cubic root of 25628946 is about 294.8335592756.

The spelling of 25628946 in words is "twenty-five million, six hundred twenty-eight thousand, nine hundred forty-six".