20828988144 has 120 divisors (see below), whose sum is σ = 58656772512. Its totient is φ = 6899742720.

The previous prime is 20828988137. The next prime is 20828988157. The reversal of 20828988144 is 44188982802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23482069 + ... + 23482955.

Almost surely, 2^20828988144 is an apocalyptic number.

20828988144 is a gapful number since it is divisible by the number (24) 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 20828988144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29328386256).

20828988144 is an abundant number, since it is smaller than the sum of its proper divisors (37827784368).

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

20828988144 is a wasteful number, since it uses less digits than its factorization.

20828988144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1735 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The spelling of 20828988144 in words is "twenty billion, eight hundred twenty-eight million, nine hundred eighty-eight thousand, one hundred forty-four".