4288578920 has 192 divisors, whose sum is σ = 10665561600. Its totient is φ = 1550545920.

The previous prime is 4288578859. The next prime is 4288578937. The reversal of 4288578920 is 298758824.

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48186236 + ... + 48186324.

It is an arithmetic number, because the mean of its divisors is an integer number (55549800).

Almost surely, 2^4288578920 is an apocalyptic number.

4288578920 is a gapful number since it is divisible by the number (40) 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 4288578920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5332780800).

4288578920 is an abundant number, since it is smaller than the sum of its proper divisors (6376982680).

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

4288578920 is a wasteful number, since it uses less digits than its factorization.

4288578920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 53.

The square root of 4288578920 is about 65487.2424217114. The cubic root of 4288578920 is about 1624.6923498057.

The spelling of 4288578920 in words is "four billion, two hundred eighty-eight million, five hundred seventy-eight thousand, nine hundred twenty".