4728960 has 96 divisors (see below), whose sum is σ = 16349580. Its totient is φ = 1259520.

The previous prime is 4728947. The next prime is 4728973. The reversal of 4728960 is 698274.

It is an interprime number because it is at equal distance from previous prime (4728947) and next prime (4728973).

It can be written as a sum of positive squares in 2 ways, for example, as 4562496 + 166464 = 2136^2 + 408^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5350 + ... + 6170.

Almost surely, 2^4728960 is an apocalyptic number.

4728960 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 4728960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8174790).

4728960 is an abundant number, since it is smaller than the sum of its proper divisors (11620620).

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

4728960 is a wasteful number, since it uses less digits than its factorization.

4728960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 4728960 is about 2174.6172076943. The cubic root of 4728960 is about 167.8502066159.

The spelling of 4728960 in words is "four million, seven hundred twenty-eight thousand, nine hundred sixty".