2926728000 has 336 divisors, whose sum is σ = 11967081984. Its totient is φ = 668851200.

The previous prime is 2926727987. The next prime is 2926728001. The reversal of 2926728000 is 8276292.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2926728001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 501097 + ... + 506903.

Almost surely, 2^2926728000 is an apocalyptic number.

2926728000 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 2926728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5983540992).

2926728000 is an abundant number, since it is smaller than the sum of its proper divisors (9040353984).

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

2926728000 is a wasteful number, since it uses less digits than its factorization.

2926728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5847 (or 5824 counting only the distinct ones).

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

The square root of 2926728000 is about 54099.2421388692. The cubic root of 2926728000 is about 1430.4108230042.

The spelling of 2926728000 in words is "two billion, nine hundred twenty-six million, seven hundred twenty-eight thousand".