628526431 has 16 divisors (see below), whose sum is σ = 717552864. Its totient is φ = 545393664.

The previous prime is 628526413. The next prime is 628526461. The reversal of 628526431 is 134625826.

It is a cyclic number.

It is not a de Polignac number, because 628526431 - 2¹⁷ = 628395359 is a prime.

It is a super-2 number, since 2×628526431² = 790090948931195522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628526411) 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, 314371 + ... + 316363.

It is an arithmetic number, because the mean of its divisors is an integer number (44847054).

Almost surely, 2^628526431 is an apocalyptic number.

628526431 is a deficient number, since it is larger than the sum of its proper divisors (89026433).

628526431 is a wasteful number, since it uses less digits than its factorization.

628526431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3450.

The product of its digits is 69120, while the sum is 37.

The square root of 628526431 is about 25070.4294139530. The cubic root of 628526431 is about 856.5929883761.

The spelling of 628526431 in words is "six hundred twenty-eight million, five hundred twenty-six thousand, four hundred thirty-one".