2961728 has 56 divisors (see below), whose sum is σ = 7339584. Its totient is φ = 1152000.

The previous prime is 2961727. The next prime is 2961737. The reversal of 2961728 is 8271692.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2961727) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4628 + ... + 5228.

It is an arithmetic number, because the mean of its divisors is an integer number (131064).

2^2961728 is an apocalyptic number.

2961728 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 2961728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3669792).

2961728 is an abundant number, since it is smaller than the sum of its proper divisors (4377856).

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

2961728 is a wasteful number, since it uses less digits than its factorization.

2961728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 621 counting only the distinct ones).

The product of its digits is 12096, while the sum is 35.

The square root of 2961728 is about 1720.9671699367. The cubic root of 2961728 is about 143.6090217096.

The spelling of 2961728 in words is "two million, nine hundred sixty-one thousand, seven hundred twenty-eight".