1052788960 has 48 divisors (see below), whose sum is σ = 2495432016. Its totient is φ = 419724288.

The previous prime is 1052788949. The next prime is 1052788963. The reversal of 1052788960 is 698872501.

It is a super-2 number, since 2×1052788960² = 2216729188595763200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1052788960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1052788963) 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, 38404 + ... + 59836.

It is an arithmetic number, because the mean of its divisors is an integer number (51988167).

Almost surely, 2^1052788960 is an apocalyptic number.

1052788960 is a gapful number since it is divisible by the number (10) 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 1052788960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247716008).

1052788960 is an abundant number, since it is smaller than the sum of its proper divisors (1442643056).

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

1052788960 is a wasteful number, since it uses less digits than its factorization.

1052788960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21755 (or 21747 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 46.

The square root of 1052788960 is about 32446.7095404141. The cubic root of 1052788960 is about 1017.2954624313.

The spelling of 1052788960 in words is "one billion, fifty-two million, seven hundred eighty-eight thousand, nine hundred sixty".