20102293728 has 288 divisors, whose sum is σ = 65010097152. Its totient is φ = 5836953600.

The previous prime is 20102293709. The next prime is 20102293763. The reversal of 20102293728 is 82739220102.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 20102293692 and 20102293701.

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, 10507300 + ... + 10509212.

It is an arithmetic number, because the mean of its divisors is an integer number (225729504).

Almost surely, 2^20102293728 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 20102293728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32505048576).

20102293728 is an abundant number, since it is smaller than the sum of its proper divisors (44907803424).

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

20102293728 is a wasteful number, since it uses less digits than its factorization.

20102293728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2078 (or 2067 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 20102293728 in words is "twenty billion, one hundred two million, two hundred ninety-three thousand, seven hundred twenty-eight".