1064401128 has 384 divisors, whose sum is σ = 3720960000. Its totient is φ = 280215936.

The previous prime is 1064401111. The next prime is 1064401133. The reversal of 1064401128 is 8211044601.

It is a happy number.

1064401128 is a `hidden beast` number, since 1 + 0 + 644 + 0 + 1 + 12 + 8 = 666.

It is a super-2 number, since 2×1064401128² = 2265899522575344768, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13473393 + ... + 13473471.

It is an arithmetic number, because the mean of its divisors is an integer number (9690000).

Almost surely, 2^1064401128 is an apocalyptic number.

1064401128 is a gapful number since it is divisible by the number (18) 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 1064401128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1860480000).

1064401128 is an abundant number, since it is smaller than the sum of its proper divisors (2656558872).

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

1064401128 is a wasteful number, since it uses less digits than its factorization.

1064401128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1064401128 is about 32625.1609651202. The cubic root of 1064401128 is about 1021.0220205955.

Adding to 1064401128 its reverse (8211044601), we get a palindrome (9275445729).

The spelling of 1064401128 in words is "one billion, sixty-four million, four hundred one thousand, one hundred twenty-eight".