628776 has 64 divisors (see below), whose sum is σ = 1814400. Its totient is φ = 201600.

The previous prime is 628759. The next prime is 628781. The reversal of 628776 is 677826.

628776 = T₉₆ + T₉₇ + ... + T₁₆₆.

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

It is a self number, because there is not a number n which added to its sum of digits gives 628776.

It is an unprimeable number.

628776 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8821 + ... + 8891.

It is an arithmetic number, because the mean of its divisors is an integer number (28350).

2⁶²⁸⁷⁷⁶ 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 628776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907200).

628776 is an abundant number, since it is smaller than the sum of its proper divisors (1185624).

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

628776 is a wasteful number, since it uses less digits than its factorization.

628776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 117 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 628776 is about 792.9539709214. The cubic root of 628776 is about 85.6706349171.

It can be divided in two parts, 6 and 28776, that added together give a palindrome (28782).

The spelling of 628776 in words is "six hundred twenty-eight thousand, seven hundred seventy-six".