1295928000 has 336 divisors, whose sum is σ = 4759634880. Its totient is φ = 336384000.

The previous prime is 1295927987. The next prime is 1295928019. The reversal of 1295928000 is 8295921.

It is a Cunningham number, because it is equal to 35999²-1.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2951781 + ... + 2952219.

It is an arithmetic number, because the mean of its divisors is an integer number (14165580).

Almost surely, 2^1295928000 is an apocalyptic number.

1295928000 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 1295928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2379817440).

1295928000 is an abundant number, since it is smaller than the sum of its proper divisors (3463706880).

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

1295928000 is a wasteful number, since it uses less digits than its factorization.

1295928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 1295928000 is about 35998.9999861107. Note that the first 4 decimals coincide. The cubic root of 1295928000 is about 1090.2521650966.

The spelling of 1295928000 in words is "one billion, two hundred ninety-five million, nine hundred twenty-eight thousand".