2928101940 has 192 divisors, whose sum is σ = 9545195520. Its totient is φ = 743783040.

The previous prime is 2928101933. The next prime is 2928101977. The reversal of 2928101940 is 491018292.

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 = 2928101895 and 2928101904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5352747 + ... + 5353293.

It is an arithmetic number, because the mean of its divisors is an integer number (49714560).

Almost surely, 2^2928101940 is an apocalyptic number.

2928101940 is a gapful number since it is divisible by the number (20) 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 2928101940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4772597760).

2928101940 is an abundant number, since it is smaller than the sum of its proper divisors (6617093580).

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

2928101940 is a wasteful number, since it uses less digits than its factorization.

2928101940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 2928101940 is about 54111.9389783807. The cubic root of 2928101940 is about 1430.6346214112.

The spelling of 2928101940 in words is "two billion, nine hundred twenty-eight million, one hundred one thousand, nine hundred forty".