1285941888 has 576 divisors, whose sum is σ = 4988412000. Its totient is φ = 313528320.

The previous prime is 1285941871. The next prime is 1285941889. The reversal of 1285941888 is 8881495821.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (1285941889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11797578 + ... + 11797686.

Almost surely, 2^1285941888 is an apocalyptic number.

1285941888 is a gapful number since it is divisible by the number (18) 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 1285941888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2494206000).

1285941888 is an abundant number, since it is smaller than the sum of its proper divisors (3702470112).

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

1285941888 is a wasteful number, since it uses less digits than its factorization.

1285941888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 151 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 54.

The square root of 1285941888 is about 35860.0319018263. The cubic root of 1285941888 is about 1087.4445333581. Note that the first 3 decimals are identical.

The spelling of 1285941888 in words is "one billion, two hundred eighty-five million, nine hundred forty-one thousand, eight hundred eighty-eight".