4628777 has 16 divisors (see below), whose sum is σ = 5216400. Its totient is φ = 4085760.

The previous prime is 4628759. The next prime is 4628783. The reversal of 4628777 is 7778264.

It can be written as a sum of positive squares in 8 ways, for example, as 87616 + 4541161 = 296^2 + 2131^2 .

It is a cyclic number.

It is not a de Polignac number, because 4628777 - 2¹² = 4624681 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4628747) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20099 + ... + 20327.

It is an arithmetic number, because the mean of its divisors is an integer number (326025).

Almost surely, 2^4628777 is an apocalyptic number.

It is an amenable number.

4628777 is a deficient number, since it is larger than the sum of its proper divisors (587623).

4628777 is a wasteful number, since it uses less digits than its factorization.

4628777 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316.

The product of its digits is 131712, while the sum is 41.

The square root of 4628777 is about 2151.4592722150. The cubic root of 4628777 is about 166.6564344829.

It can be divided in two parts, 46287 and 77, that added together give a palindrome (46364).

The spelling of 4628777 in words is "four million, six hundred twenty-eight thousand, seven hundred seventy-seven".