28906900 has 54 divisors (see below), whose sum is σ = 68977790. Its totient is φ = 10507200.

The previous prime is 28906877. The next prime is 28906901. The reversal of 28906900 is 960982.

It can be written as a sum of positive squares in 3 ways, for example, as 327184 + 28579716 = 572^2 + 5346^2 .

It is a super-2 number, since 2×28906900² = 1671217735220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28906901) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10906 + ... + 13294.

Almost surely, 2^28906900 is an apocalyptic number.

28906900 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 28906900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34488895).

28906900 is an abundant number, since it is smaller than the sum of its proper divisors (40070890).

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

28906900 is a wasteful number, since it uses less digits than its factorization.

28906900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2425 (or 2407 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 28906900 is about 5376.5137403340. The cubic root of 28906900 is about 306.9025569003.

The spelling of 28906900 in words is "twenty-eight million, nine hundred six thousand, nine hundred".