628697088 has 144 divisors (see below), whose sum is σ = 1896017760. Its totient is φ = 200318976.

The previous prime is 628697087. The next prime is 628697101. The reversal of 628697088 is 880796826.

628697088 is a `hidden beast` number, since 628 + 6 + 9 + 7 + 0 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (628697087) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 423195 + ... + 424677.

It is an arithmetic number, because the mean of its divisors is an integer number (13166790).

Almost surely, 2^628697088 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 628697088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948008880).

628697088 is an abundant number, since it is smaller than the sum of its proper divisors (1267320672).

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

628697088 is a wasteful number, since it uses less digits than its factorization.

628697088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 628697088 is about 25073.8327345462. The cubic root of 628697088 is about 856.6705085110.

The spelling of 628697088 in words is "six hundred twenty-eight million, six hundred ninety-seven thousand, eighty-eight".