20267128 has 64 divisors (see below), whose sum is σ = 46872000. Its totient is φ = 8017920.

The previous prime is 20267119. The next prime is 20267197. The reversal of 20267128 is 82176202.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 20267096 and 20267105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57898 + ... + 58246.

It is an arithmetic number, because the mean of its divisors is an integer number (732375).

Almost surely, 2^20267128 is an apocalyptic number.

20267128 is a gapful number since it is divisible by the number (28) 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 20267128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23436000).

20267128 is an abundant number, since it is smaller than the sum of its proper divisors (26604872).

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

20267128 is a wasteful number, since it uses less digits than its factorization.

20267128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 20267128 is about 4501.9027088554. The cubic root of 20267128 is about 272.6449157657.

The spelling of 20267128 in words is "twenty million, two hundred sixty-seven thousand, one hundred twenty-eight".