15628000 has 48 divisors (see below), whose sum is σ = 38407824. Its totient is φ = 6249600.

The previous prime is 15627991. The next prime is 15628003. The reversal of 15628000 is 82651.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15628003) 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, 2047 + ... + 5953.

It is an arithmetic number, because the mean of its divisors is an integer number (800163).

Almost surely, 2^15628000 is an apocalyptic number.

15628000 is a gapful number since it is divisible by the number (10) 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 15628000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19203912).

15628000 is an abundant number, since it is smaller than the sum of its proper divisors (22779824).

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

15628000 is an equidigital number, since it uses as much as digits as its factorization.

15628000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3932 (or 3914 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 15628000 is about 3953.2265303167. The cubic root of 15628000 is about 250.0159989761.

The spelling of 15628000 in words is "fifteen million, six hundred twenty-eight thousand".