628889436 has 216 divisors, whose sum is σ = 1988173824. Its totient is φ = 163995840.

The previous prime is 628889431. The next prime is 628889441. The reversal of 628889436 is 634988826.

628889436 is a `hidden beast` number, since 628 + 8 + 8 + 9 + 4 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (628889431) and next prime (628889441).

It is a super-3 number, since 3×628889436³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628889431) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2820021 + ... + 2820243.

Almost surely, 2^628889436 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 628889436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994086912).

628889436 is an abundant number, since it is smaller than the sum of its proper divisors (1359284388).

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

628889436 is a wasteful number, since it uses less digits than its factorization.

628889436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 285 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 628889436 is about 25077.6680734075. The cubic root of 628889436 is about 856.7578648656.

The spelling of 628889436 in words is "six hundred twenty-eight million, eight hundred eighty-nine thousand, four hundred thirty-six".