628761 has 16 divisors (see below), whose sum is σ = 972800. Its totient is φ = 353808.

The previous prime is 628759. The next prime is 628781. The reversal of 628761 is 167826.

It is a happy number.

It is not a de Polignac number, because 628761 - 2¹ = 628759 is a prime.

It is a Duffinian number.

628761 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (628721) 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, 1470 + ... + 1848.

It is an arithmetic number, because the mean of its divisors is an integer number (60800).

2⁶²⁸⁷⁶¹ is an apocalyptic number.

It is an amenable number.

628761 is a deficient number, since it is larger than the sum of its proper divisors (344039).

628761 is a wasteful number, since it uses less digits than its factorization.

628761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468.

The product of its digits is 4032, while the sum is 30.

The square root of 628761 is about 792.9445125606. The cubic root of 628761 is about 85.6699536624.

The spelling of 628761 in words is "six hundred twenty-eight thousand, seven hundred sixty-one".