628240536 has 224 divisors, whose sum is σ = 2203488000. Its totient is φ = 163062720.

The previous prime is 628240531. The next prime is 628240537. The reversal of 628240536 is 635042826.

628240536 is a `hidden beast` number, since 6 + 2 + 82 + 40 + 536 = 666.

It is a super-3 number, since 3×628240536³ (a number of 27 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 628240536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628240531) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 448365 + ... + 449763.

It is an arithmetic number, because the mean of its divisors is an integer number (9837000).

Almost surely, 2^628240536 is an apocalyptic number.

628240536 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 628240536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101744000).

628240536 is an abundant number, since it is smaller than the sum of its proper divisors (1575247464).

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

628240536 is a wasteful number, since it uses less digits than its factorization.

628240536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1441 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 628240536 is about 25064.7269284946. The cubic root of 628240536 is about 856.4630904746.

The spelling of 628240536 in words is "six hundred twenty-eight million, two hundred forty thousand, five hundred thirty-six".