628454761 has 27 divisors (see below), whose sum is σ = 720814647. Its totient is φ = 547506960.

The previous prime is 628454753. The next prime is 628454767. The reversal of 628454761 is 167454826.

The square root of 628454761 is 25069.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 453051225 + 175403536 = 21285^2 + 13244^2 .

It is not a de Polignac number, because 628454761 - 2³ = 628454753 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (628454767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11857611 + ... + 11857663.

Almost surely, 2^628454761 is an apocalyptic number.

628454761 is the 25069-th square number.

628454761 is the 12535-th centered octagonal number.

It is an amenable number.

628454761 is a deficient number, since it is larger than the sum of its proper divisors (92359886).

628454761 is an equidigital number, since it uses as much as digits as its factorization.

628454761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 107 counting only the distinct ones).

The product of its digits is 322560, while the sum is 43.

The cubic root of 628454761 is about 856.5604284337.

The spelling of 628454761 in words is "six hundred twenty-eight million, four hundred fifty-four thousand, seven hundred sixty-one".