425644128 has 288 divisors, whose sum is σ = 1513512000. Its totient is φ = 110481408.

The previous prime is 425644127. The next prime is 425644129. The reversal of 425644128 is 821446524.

425644128 is a `hidden beast` number, since 4 + 2 + 5 + 644 + 1 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (425644127) and next prime (425644129).

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

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

It is a junction number, because it is equal to n+sod(n) for n = 425644092 and 425644101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425644123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2856598 + ... + 2856746.

It is an arithmetic number, because the mean of its divisors is an integer number (5255250).

Almost surely, 2^425644128 is an apocalyptic number.

425644128 is a gapful number since it is divisible by the number (48) 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 425644128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756756000).

425644128 is an abundant number, since it is smaller than the sum of its proper divisors (1087867872).

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

425644128 is a wasteful number, since it uses less digits than its factorization.

425644128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 283 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 425644128 is about 20631.1446119695. The cubic root of 425644128 is about 752.2269384490.

It can be divided in two parts, 4256 and 44128, that added together give a palindrome (48384).

The spelling of 425644128 in words is "four hundred twenty-five million, six hundred forty-four thousand, one hundred twenty-eight".