1634248128 has 56 divisors (see below), whose sum is σ = 4335261840. Its totient is φ = 543324160.

The previous prime is 1634248127. The next prime is 1634248177. The reversal of 1634248128 is 8218424361.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1634248123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63748 + ... + 85628.

It is an arithmetic number, because the mean of its divisors is an integer number (77415390).

Almost surely, 2^1634248128 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 1634248128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2167630920).

1634248128 is an abundant number, since it is smaller than the sum of its proper divisors (2701013712).

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

1634248128 is a wasteful number, since it uses less digits than its factorization.

1634248128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22285 (or 22275 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 1634248128 is about 40425.8349078903. The cubic root of 1634248128 is about 1177.8934281541.

The spelling of 1634248128 in words is "one billion, six hundred thirty-four million, two hundred forty-eight thousand, one hundred twenty-eight".