28414600 has 48 divisors (see below), whose sum is σ = 68209920. Its totient is φ = 10996800.

The previous prime is 28414597. The next prime is 28414609. The reversal of 28414600 is 641482.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (28414609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3909 + ... + 8491.

It is an arithmetic number, because the mean of its divisors is an integer number (1421040).

Almost surely, 2^28414600 is an apocalyptic number.

28414600 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 28414600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34104960).

28414600 is an abundant number, since it is smaller than the sum of its proper divisors (39795320).

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

28414600 is a wasteful number, since it uses less digits than its factorization.

28414600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4630 (or 4621 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 28414600 is about 5330.5346823747. The cubic root of 28414600 is about 305.1503334855.

It can be divided in two parts, 284 and 14600, that added together give a square (14884 = 122²).

The spelling of 28414600 in words is "twenty-eight million, four hundred fourteen thousand, six hundred".