20736828 has 144 divisors (see below), whose sum is σ = 64995840. Its totient is φ = 5443200.

The previous prime is 20736791. The next prime is 20736853. The reversal of 20736828 is 82863702.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 20736792 and 20736801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 292033 + ... + 292103.

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

Almost surely, 2^20736828 is an apocalyptic number.

20736828 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 20736828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32497920).

20736828 is an abundant number, since it is smaller than the sum of its proper divisors (44259012).

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

20736828 is a wasteful number, since it uses less digits than its factorization.

20736828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 20736828 is about 4553.7707452176. The cubic root of 20736828 is about 274.7350748902.

The spelling of 20736828 in words is "twenty million, seven hundred thirty-six thousand, eight hundred twenty-eight".