2077728 has 48 divisors (see below), whose sum is σ = 5697216. Its totient is φ = 661760.

The previous prime is 2077711. The next prime is 2077753. The reversal of 2077728 is 8277702.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1738 + ... + 2678.

It is an arithmetic number, because the mean of its divisors is an integer number (118692).

2^2077728 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 2077728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2848608).

2077728 is an abundant number, since it is smaller than the sum of its proper divisors (3619488).

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

2077728 is a wasteful number, since it uses less digits than its factorization.

2077728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 10976, while the sum is 33.

The square root of 2077728 is about 1441.4326206937. The cubic root of 2077728 is about 127.6035913207.

The spelling of 2077728 in words is "two million, seventy-seven thousand, seven hundred twenty-eight".