10142028820 has 324 divisors, whose sum is σ = 28455586740. Its totient is φ = 3024806400.

The previous prime is 10142028803. The next prime is 10142028847. The reversal of 10142028820 is 2882024101.

It can be written as a sum of positive squares in 2 ways, for example, as 2757720196 + 7384308624 = 52514^2 + 85932^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 113955336 + ... + 113955424.

It is an arithmetic number, because the mean of its divisors is an integer number (87825885).

Almost surely, 2^10142028820 is an apocalyptic number.

10142028820 is a gapful number since it is divisible by the number (10) 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 10142028820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14227793370).

10142028820 is an abundant number, since it is smaller than the sum of its proper divisors (18313557920).

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

10142028820 is a wasteful number, since it uses less digits than its factorization.

10142028820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The spelling of 10142028820 in words is "ten billion, one hundred forty-two million, twenty-eight thousand, eight hundred twenty".