28196100 has 135 divisors (see below), whose sum is σ = 92976037. Its totient is φ = 7391520.

The previous prime is 28196087. The next prime is 28196117. The reversal of 28196100 is 169182.

The square root of 28196100 is 5310.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 10150596 + 18045504 = 3186^2 + 4248^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a super-4 number, since 4×28196100⁴ (a number of 31 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 477871 + ... + 477929.

Almost surely, 2^28196100 is an apocalyptic number.

28196100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

28196100 is the 5310-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28196100

28196100 is an abundant number, since it is smaller than the sum of its proper divisors (64779937).

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

28196100 is a wasteful number, since it uses less digits than its factorization.

28196100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The cubic root of 28196100 is about 304.3661475809.

The spelling of 28196100 in words is "twenty-eight million, one hundred ninety-six thousand, one hundred".