20288772 has 96 divisors (see below), whose sum is σ = 61501440. Its totient is φ = 5663520.

The previous prime is 20288767. The next prime is 20288797. The reversal of 20288772 is 27788202.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35247 + ... + 35817.

It is an arithmetic number, because the mean of its divisors is an integer number (640640).

Almost surely, 2^20288772 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20288772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30750720).

20288772 is an abundant number, since it is smaller than the sum of its proper divisors (41212668).

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

20288772 is a wasteful number, since it uses less digits than its factorization.

20288772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 20288772 is about 4504.3059398758. The cubic root of 20288772 is about 272.7419370297.

The spelling of 20288772 in words is "twenty million, two hundred eighty-eight thousand, seven hundred seventy-two".