2920141728 has 144 divisors (see below), whose sum is σ = 9515862720. Its totient is φ = 832094208.

The previous prime is 2920141727. The next prime is 2920141759. The reversal of 2920141728 is 8271410292.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 2920141692 and 2920141701.

It is not an unprimeable number, because it can be changed into a prime (2920141727) 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, 842976 + ... + 846432.

It is an arithmetic number, because the mean of its divisors is an integer number (66082380).

Almost surely, 2^2920141728 is an apocalyptic number.

2920141728 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 2920141728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4757931360).

2920141728 is an abundant number, since it is smaller than the sum of its proper divisors (6595720992).

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

2920141728 is a wasteful number, since it uses less digits than its factorization.

2920141728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3899 (or 3888 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 2920141728 is about 54038.3357256679. The cubic root of 2920141728 is about 1429.3370242519.

The spelling of 2920141728 in words is "two billion, nine hundred twenty million, one hundred forty-one thousand, seven hundred twenty-eight".