28214100 has 216 divisors, whose sum is σ = 97493760. Its totient is φ = 6800640.

The previous prime is 28214089. The next prime is 28214113. The reversal of 28214100 is 141282.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 600277 + ... + 600323.

It is an arithmetic number, because the mean of its divisors is an integer number (451360).

Almost surely, 2^28214100 is an apocalyptic number.

28214100 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 28214100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48746880).

28214100 is an abundant number, since it is smaller than the sum of its proper divisors (69279660).

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

28214100 is a wasteful number, since it uses less digits than its factorization.

28214100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 28214100 is about 5311.6946448379. The cubic root of 28214100 is about 304.4309015155.

Adding to 28214100 its reverse (141282), we get a palindrome (28355382).

The spelling of 28214100 in words is "twenty-eight million, two hundred fourteen thousand, one hundred".