1285955328 has 144 divisors (see below), whose sum is σ = 3931151616. Its totient is φ = 365568000.

The previous prime is 1285955317. The next prime is 1285955329. The reversal of 1285955328 is 8235595821.

It is a happy number.

It is a super-2 number, since 2×1285955328² = 3307362211223175168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1285955329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1348900 + ... + 1349852.

It is an arithmetic number, because the mean of its divisors is an integer number (27299664).

Almost surely, 2^1285955328 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 1285955328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1965575808).

1285955328 is an abundant number, since it is smaller than the sum of its proper divisors (2645196288).

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

1285955328 is an equidigital number, since it uses as much as digits as its factorization.

1285955328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230 (or 1216 counting only the distinct ones).

The product of its digits is 864000, while the sum is 48.

The square root of 1285955328 is about 35860.2192965966. The cubic root of 1285955328 is about 1087.4483218143.

The spelling of 1285955328 in words is "one billion, two hundred eighty-five million, nine hundred fifty-five thousand, three hundred twenty-eight".