1985456928 has 384 divisors, whose sum is σ = 7041323520. Its totient is φ = 474808320.

The previous prime is 1985456917. The next prime is 1985456953. The reversal of 1985456928 is 8296545891.

It is a happy number.

Its product of digits (6220800) is a multiple of the sum of its prime factors (540).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4306618 + ... + 4307078.

It is an arithmetic number, because the mean of its divisors is an integer number (18336780).

Almost surely, 2^1985456928 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 1985456928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3520661760).

1985456928 is an abundant number, since it is smaller than the sum of its proper divisors (5055866592).

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

1985456928 is a wasteful number, since it uses less digits than its factorization.

1985456928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 532 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 57.

The square root of 1985456928 is about 44558.4664008985. The cubic root of 1985456928 is about 1256.8597640204.

The spelling of 1985456928 in words is "one billion, nine hundred eighty-five million, four hundred fifty-six thousand, nine hundred twenty-eight".