4288453632 has 220 divisors, whose sum is σ = 12929261400. Its totient is φ = 1415798784.

The previous prime is 4288453627. The next prime is 4288453633. The reversal of 4288453632 is 2363548824.

4288453632 is a `hidden beast` number, since 4 + 2 + 8 + 8 + 4 + 5 + 3 + 632 = 666.

4288453632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4288453633) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12358483 + ... + 12358829.

It is an arithmetic number, because the mean of its divisors is an integer number (58769370).

Almost surely, 2^4288453632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4288453632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6464630700).

4288453632 is an abundant number, since it is smaller than the sum of its proper divisors (8640807768).

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

4288453632 is a wasteful number, since it uses less digits than its factorization.

4288453632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 501 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The square root of 4288453632 is about 65486.2858314625. The cubic root of 4288453632 is about 1624.6765282137.

The spelling of 4288453632 in words is "four billion, two hundred eighty-eight million, four hundred fifty-three thousand, six hundred thirty-two".