1255428000 has 288 divisors, whose sum is σ = 4564752192. Its totient is φ = 326592000.

The previous prime is 1255427993. The next prime is 1255428017. The reversal of 1255428000 is 8245521.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1547595 + ... + 1548405.

It is an arithmetic number, because the mean of its divisors is an integer number (15849834).

Almost surely, 2^1255428000 is an apocalyptic number.

1255428000 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 1255428000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2282376096).

1255428000 is an abundant number, since it is smaller than the sum of its proper divisors (3309324192).

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

1255428000 is a wasteful number, since it uses less digits than its factorization.

1255428000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 1255428000 is about 35432.0194174704. The cubic root of 1255428000 is about 1078.7743297022.

The spelling of 1255428000 in words is "one billion, two hundred fifty-five million, four hundred twenty-eight thousand".