4728587337 has 48 divisors (see below), whose sum is σ = 7097135760. Its totient is φ = 3032100864.

The previous prime is 4728587333. The next prime is 4728587341. The reversal of 4728587337 is 7337858274.

It is a happy number.

4728587337 is a `hidden beast` number, since 4 + 7 + 28 + 587 + 3 + 37 = 666.

It is an interprime number because it is at equal distance from previous prime (4728587333) and next prime (4728587341).

It can be written as a sum of positive squares in 8 ways, for example, as 956293776 + 3772293561 = 30924^2 + 61419^2 .

It is not a de Polignac number, because 4728587337 - 2² = 4728587333 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (4728587333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7973713 + ... + 7974305.

It is an arithmetic number, because the mean of its divisors is an integer number (147856995).

Almost surely, 2^4728587337 is an apocalyptic number.

It is an amenable number.

4728587337 is a deficient number, since it is larger than the sum of its proper divisors (2368548423).

4728587337 is a wasteful number, since it uses less digits than its factorization.

4728587337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 951 counting only the distinct ones).

The product of its digits is 7902720, while the sum is 54.

The square root of 4728587337 is about 68764.7245104639. The cubic root of 4728587337 is about 1678.4579738674.

The spelling of 4728587337 in words is "four billion, seven hundred twenty-eight million, five hundred eighty-seven thousand, three hundred thirty-seven".