2933728 has 36 divisors (see below), whose sum is σ = 6722352. Its totient is φ = 1256640.

The previous prime is 2933717. The next prime is 2933731. The reversal of 2933728 is 8273392.

It is a d-powerful number, because it can be written as 2¹⁷ + 9⁶ + 3⁷ + 3¹³ + 7⁶ + 2¹⁹ + 8⁵ .

It is a junction number, because it is equal to n+sod(n) for n = 2933693 and 2933702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 633 + ... + 2503.

It is an arithmetic number, because the mean of its divisors is an integer number (186732).

2^2933728 is an apocalyptic number.

2933728 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 2933728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3361176).

2933728 is an abundant number, since it is smaller than the sum of its proper divisors (3788624).

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

2933728 is a wasteful number, since it uses less digits than its factorization.

2933728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1895 (or 1880 counting only the distinct ones).

The product of its digits is 18144, while the sum is 34.

The square root of 2933728 is about 1712.8128911238. The cubic root of 2933728 is about 143.1550309783.

The spelling of 2933728 in words is "two million, nine hundred thirty-three thousand, seven hundred twenty-eight".