628035120 has 200 divisors, whose sum is σ = 2296512240. Its totient is φ = 158630400.

The previous prime is 628035113. The next prime is 628035137. The reversal of 628035120 is 21530826.

628035120 is a `hidden beast` number, since 628 + 0 + 35 + 1 + 2 + 0 = 666.

It is a super-2 number, since 2×628035120² = 788856223906828800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 120570 + ... + 125670.

Almost surely, 2^628035120 is an apocalyptic number.

628035120 is a gapful number since it is divisible by the number (60) 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 628035120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148256120).

628035120 is an abundant number, since it is smaller than the sum of its proper divisors (1668477120).

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

628035120 is a wasteful number, since it uses less digits than its factorization.

628035120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5145 (or 5130 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 628035120 is about 25060.6288827715. The cubic root of 628035120 is about 856.3697342995.

Adding to 628035120 its reverse (21530826), we get a palindrome (649565946).

The spelling of 628035120 in words is "six hundred twenty-eight million, thirty-five thousand, one hundred twenty".