5152768 has 56 divisors (see below), whose sum is σ = 11205972. Its totient is φ = 2359296.

The previous prime is 5152753. The next prime is 5152783. The reversal of 5152768 is 8672515.

It is an interprime number because it is at equal distance from previous prime (5152753) and next prime (5152783).

It can be written as a sum of positive squares in 2 ways, for example, as 4460544 + 692224 = 2112^2 + 832^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

Its product of digits (16800) is a multiple of the sum of its prime divisors (56).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 139246 + ... + 139282.

Almost surely, 2^5152768 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 5152768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5602986).

5152768 is an abundant number, since it is smaller than the sum of its proper divisors (6053204).

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

5152768 is an equidigital number, since it uses as much as digits as its factorization.

5152768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 56 counting only the distinct ones).

The product of its digits is 16800, while the sum is 34.

The square root of 5152768 is about 2269.9709249239. The cubic root of 5152768 is about 172.7216837611.

The spelling of 5152768 in words is "five million, one hundred fifty-two thousand, seven hundred sixty-eight".