628129935 has 48 divisors (see below), whose sum is σ = 1107025920. Its totient is φ = 329434560.

The previous prime is 628129907. The next prime is 628129961. The reversal of 628129935 is 539921826.

628129935 is a `hidden beast` number, since 628 + 12 + 9 + 9 + 3 + 5 = 666.

It is not a de Polignac number, because 628129935 - 2⁵ = 628129903 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 748246 + ... + 749084.

It is an arithmetic number, because the mean of its divisors is an integer number (23063040).

Almost surely, 2^628129935 is an apocalyptic number.

628129935 is a deficient number, since it is larger than the sum of its proper divisors (478895985).

628129935 is a wasteful number, since it uses less digits than its factorization.

628129935 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108 (or 1105 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 628129935 is about 25062.5205236824. The cubic root of 628129935 is about 856.4128277550.

The spelling of 628129935 in words is "six hundred twenty-eight million, one hundred twenty-nine thousand, nine hundred thirty-five".