2964728 has 32 divisors (see below), whose sum is σ = 6199200. Its totient is φ = 1319808.

The previous prime is 2964727. The next prime is 2964737. The reversal of 2964728 is 8274692.

It is a super-2 number, since 2×2964728² = 17579224227968, which contains 22 as substring.

It is an Ulam number.

It is a d-powerful number, because it can be written as 2¹⁷ + 9⁶ + 6⁸ + 4⁸ + 7 + 2¹⁹ + 8⁵ .

It is a junction number, because it is equal to n+sod(n) for n = 2964691 and 2964700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2964727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2525 + ... + 3507.

It is an arithmetic number, because the mean of its divisors is an integer number (193725).

2^2964728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2964728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3099600).

2964728 is an abundant number, since it is smaller than the sum of its proper divisors (3234472).

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

2964728 is a wasteful number, since it uses less digits than its factorization.

2964728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031 (or 1027 counting only the distinct ones).

The product of its digits is 48384, while the sum is 38.

The square root of 2964728 is about 1721.8385522458. The cubic root of 2964728 is about 143.6574936019.

It can be divided in two parts, 29647 and 28, that multiplied together give a triangular number (830116 = T₁₂₈₈).

The spelling of 2964728 in words is "two million, nine hundred sixty-four thousand, seven hundred twenty-eight".