2928681000 has 576 divisors, whose sum is σ = 11964186000. Its totient is φ = 643507200.

The previous prime is 2928680981. The next prime is 2928681031. The reversal of 2928681000 is 1868292.

It can be written as a sum of positive squares in 8 ways, for example, as 559133316 + 2369547684 = 23646^2 + 48678^2 .

It is a super-3 number, since 3×2928681000³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12788886 + ... + 12789114.

Almost surely, 2^2928681000 is an apocalyptic number.

2928681000 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 2928681000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5982093000).

2928681000 is an abundant number, since it is smaller than the sum of its proper divisors (9035505000).

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

2928681000 is a wasteful number, since it uses less digits than its factorization.

2928681000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 2928681000 is about 54117.2892890987. The cubic root of 2928681000 is about 1430.7289223949.

The spelling of 2928681000 in words is "two billion, nine hundred twenty-eight million, six hundred eighty-one thousand".