4688352 has 72 divisors (see below), whose sum is σ = 13575744. Its totient is φ = 1534464.

The previous prime is 4688351. The next prime is 4688353. The reversal of 4688352 is 2538864.

It is an interprime number because it is at equal distance from previous prime (4688351) and next prime (4688353).

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4688351) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20913 + ... + 21135.

It is an arithmetic number, because the mean of its divisors is an integer number (188552).

Almost surely, 2^4688352 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 4688352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6787872).

4688352 is an abundant number, since it is smaller than the sum of its proper divisors (8887392).

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

4688352 is a wasteful number, since it uses less digits than its factorization.

4688352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 301 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 4688352 is about 2165.2602614928. The cubic root of 4688352 is about 167.3683765840.

The spelling of 4688352 in words is "four million, six hundred eighty-eight thousand, three hundred fifty-two".