28438300 has 72 divisors (see below), whose sum is σ = 68245632. Its totient is φ = 10200000.

The previous prime is 28438279. The next prime is 28438303. The reversal of 28438300 is 383482.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28438303) 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, 113175 + ... + 113425.

It is an arithmetic number, because the mean of its divisors is an integer number (947856).

Almost surely, 2^28438300 is an apocalyptic number.

28438300 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 28438300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34122816).

28438300 is an abundant number, since it is smaller than the sum of its proper divisors (39807332).

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

28438300 is a wasteful number, since it uses less digits than its factorization.

28438300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 28438300 is about 5332.7572605548. The cubic root of 28438300 is about 305.2351496613.

The spelling of 28438300 in words is "twenty-eight million, four hundred thirty-eight thousand, three hundred".