2905728000 has 704 divisors, whose sum is σ = 11771854848. Its totient is φ = 621772800.

The previous prime is 2905727987. The next prime is 2905728011. The reversal of 2905728000 is 8275092.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 61823977 + ... + 61824023.

Almost surely, 2^2905728000 is an apocalyptic number.

2905728000 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 2905728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5885927424).

2905728000 is an abundant number, since it is smaller than the sum of its proper divisors (8866126848).

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

2905728000 is a wasteful number, since it uses less digits than its factorization.

2905728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 2905728000 is about 53904.8049806323. The cubic root of 2905728000 is about 1426.9814233559.

The spelling of 2905728000 in words is "two billion, nine hundred five million, seven hundred twenty-eight thousand".