20824128 has 168 divisors, whose sum is σ = 67307968. Its totient is φ = 6345216.

The previous prime is 20824127. The next prime is 20824147. The reversal of 20824128 is 82142802.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20824127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202125 + ... + 202227.

Almost surely, 2^20824128 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 20824128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33653984).

20824128 is an abundant number, since it is smaller than the sum of its proper divisors (46483840).

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

20824128 is a wasteful number, since it uses less digits than its factorization.

20824128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 20824128 is about 4563.3461407174. The cubic root of 20824128 is about 275.1200709827.

It can be divided in two parts, 208 and 24128, that added together give a square (24336 = 156²).

The spelling of 20824128 in words is "twenty million, eight hundred twenty-four thousand, one hundred twenty-eight".