28839400 has 48 divisors (see below), whose sum is σ = 68706540. Its totient is φ = 11251200.

The previous prime is 28839383. The next prime is 28839407. The reversal of 28839400 is 493882.

It can be written as a sum of positive squares in 6 ways, for example, as 10640644 + 18198756 = 3262^2 + 4266^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28839407) 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, 6442 + ... + 9958.

Almost surely, 2^28839400 is an apocalyptic number.

28839400 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 28839400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34353270).

28839400 is an abundant number, since it is smaller than the sum of its proper divisors (39867140).

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

28839400 is a wasteful number, since it uses less digits than its factorization.

28839400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3574 (or 3565 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 28839400 is about 5370.2327696293. The cubic root of 28839400 is about 306.6634897802.

The spelling of 28839400 in words is "twenty-eight million, eight hundred thirty-nine thousand, four hundred".