841428000 has 720 divisors, whose sum is σ = 3660320664. Its totient is φ = 188697600.

The previous prime is 841427963. The next prime is 841428001. The reversal of 841428000 is 824148.

It can be written as a sum of positive squares in 4 ways, for example, as 338412816 + 503015184 = 18396^2 + 22428^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (841428001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 15875974 + ... + 15876026.

Almost surely, 2^841428000 is an apocalyptic number.

841428000 is a gapful number since it is divisible by the number (80) 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 841428000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1830160332).

841428000 is an abundant number, since it is smaller than the sum of its proper divisors (2818892664).

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

841428000 is a wasteful number, since it uses less digits than its factorization.

841428000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 841428000 is about 29007.3783717178. The cubic root of 841428000 is about 944.0731653528.

The spelling of 841428000 in words is "eight hundred forty-one million, four hundred twenty-eight thousand".