1285728552 has 128 divisors (see below), whose sum is σ = 3701808000. Its totient is φ = 418364352.

The previous prime is 1285728551. The next prime is 1285728557. The reversal of 1285728552 is 2558275821.

1285728552 is a `hidden beast` number, since 1 + 28 + 5 + 72 + 8 + 552 = 666.

It is a super-3 number, since 3×1285728552³ (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1285728498 and 1285728507.

It is not an unprimeable number, because it can be changed into a prime (1285728551) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 751474 + ... + 753182.

It is an arithmetic number, because the mean of its divisors is an integer number (28920375).

Almost surely, 2^1285728552 is an apocalyptic number.

1285728552 is a gapful number since it is divisible by the number (12) 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 1285728552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1850904000).

1285728552 is an abundant number, since it is smaller than the sum of its proper divisors (2416079448).

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

1285728552 is an equidigital number, since it uses as much as digits as its factorization.

1285728552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1779 (or 1757 counting only the distinct ones).

The product of its digits is 448000, while the sum is 45.

The square root of 1285728552 is about 35857.0572133297. The cubic root of 1285728552 is about 1087.3843948456.

The spelling of 1285728552 in words is "one billion, two hundred eighty-five million, seven hundred twenty-eight thousand, five hundred fifty-two".