4128903648 has 72 divisors (see below), whose sum is σ = 11748017736. Its totient is φ = 1375545600.

The previous prime is 4128903631. The next prime is 4128903659. The reversal of 4128903648 is 8463098214.

It is a happy number.

4128903648 is a `hidden beast` number, since 4 + 1 + 289 + 0 + 364 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 821463 + ... + 826473.

It is an arithmetic number, because the mean of its divisors is an integer number (163166913).

Almost surely, 2^4128903648 is an apocalyptic number.

4128903648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4128903648 is an abundant number, since it is smaller than the sum of its proper divisors (7619114088).

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

4128903648 is a wasteful number, since it uses less digits than its factorization.

4128903648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7888 (or 7877 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 4128903648 is about 64256.5455654130. The cubic root of 4128903648 is about 1604.2729079198.

The spelling of 4128903648 in words is "four billion, one hundred twenty-eight million, nine hundred three thousand, six hundred forty-eight".