2969785728 has 768 divisors, whose sum is σ = 11721024000. Its totient is φ = 731566080.

The previous prime is 2969785717. The next prime is 2969785751. The reversal of 2969785728 is 8275879692.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (30481920) is a multiple of the sum of its prime factors (140).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41827933 + ... + 41828003.

It is an arithmetic number, because the mean of its divisors is an integer number (15261750).

Almost surely, 2^2969785728 is an apocalyptic number.

2969785728 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 2969785728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5860512000).

2969785728 is an abundant number, since it is smaller than the sum of its proper divisors (8751238272).

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

2969785728 is a wasteful number, since it uses less digits than its factorization.

2969785728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 115 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 63.

The square root of 2969785728 is about 54495.7404573972. The cubic root of 2969785728 is about 1437.3913883711.

The spelling of 2969785728 in words is "two billion, nine hundred sixty-nine million, seven hundred eighty-five thousand, seven hundred twenty-eight".