10778628 has 72 divisors (see below), whose sum is σ = 30566592. Its totient is φ = 2942016.

The previous prime is 10778627. The next prime is 10778653. The reversal of 10778628 is 82687701.

It is not an unprimeable number, because it can be changed into a prime (10778627) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13126 + ... + 13922.

It is an arithmetic number, because the mean of its divisors is an integer number (424536).

Almost surely, 2^10778628 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 10778628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15283296).

10778628 is an abundant number, since it is smaller than the sum of its proper divisors (19787964).

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

10778628 is a wasteful number, since it uses less digits than its factorization.

10778628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 39.

The square root of 10778628 is about 3283.0820885260. The cubic root of 10778628 is about 220.8959878548.

The spelling of 10778628 in words is "ten million, seven hundred seventy-eight thousand, six hundred twenty-eight".