28201680 has 240 divisors, whose sum is σ = 107243136. Its totient is φ = 6589440.

The previous prime is 28201673. The next prime is 28201687. The reversal of 28201680 is 8610282.

It is an interprime number because it is at equal distance from previous prime (28201673) and next prime (28201687).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28201687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 215215 + ... + 215345.

Almost surely, 2^28201680 is an apocalyptic number.

28201680 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 28201680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53621568).

28201680 is an abundant number, since it is smaller than the sum of its proper divisors (79041456).

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

28201680 is a wasteful number, since it uses less digits than its factorization.

28201680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 28201680 is about 5310.5253977361. The cubic root of 28201680 is about 304.3862242473.

The spelling of 28201680 in words is "twenty-eight million, two hundred one thousand, six hundred eighty".