1052728040 has 96 divisors (see below), whose sum is σ = 2931396480. Its totient is φ = 333156096.

The previous prime is 1052728031. The next prime is 1052728049. The reversal of 1052728040 is 408272501.

It is an interprime number because it is at equal distance from previous prime (1052728031) and next prime (1052728049).

It is a super-2 number, since 2×1052728040² = 2216472652404483200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1052727994 and 1052728012.

It is not an unprimeable number, because it can be changed into a prime (1052728049) 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, 36197 + ... + 58443.

It is an arithmetic number, because the mean of its divisors is an integer number (30535380).

Almost surely, 2^1052728040 is an apocalyptic number.

1052728040 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 1052728040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465698240).

1052728040 is an abundant number, since it is smaller than the sum of its proper divisors (1878668440).

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

1052728040 is a wasteful number, since it uses less digits than its factorization.

1052728040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22291 (or 22274 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 29.

The square root of 1052728040 is about 32445.7707567566. The cubic root of 1052728040 is about 1017.2758400007.

The spelling of 1052728040 in words is "one billion, fifty-two million, seven hundred twenty-eight thousand, forty".