4378372128 has 288 divisors, whose sum is σ = 13803229440. Its totient is φ = 1308303360.

The previous prime is 4378372127. The next prime is 4378372153. The reversal of 4378372128 is 8212738734.

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

It is not an unprimeable number, because it can be changed into a prime (4378372127) 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 47 ways as a sum of consecutive naturals, for example, 33422623 + ... + 33422753.

It is an arithmetic number, because the mean of its divisors is an integer number (47927880).

Almost surely, 2^4378372128 is an apocalyptic number.

4378372128 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 4378372128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6901614720).

4378372128 is an abundant number, since it is smaller than the sum of its proper divisors (9424857312).

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

4378372128 is a wasteful number, since it uses less digits than its factorization.

4378372128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 341 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 4378372128 is about 66169.2687582385. The cubic root of 4378372128 is about 1635.9532549617.

The spelling of 4378372128 in words is "four billion, three hundred seventy-eight million, three hundred seventy-two thousand, one hundred twenty-eight".