535128120 has 320 divisors, whose sum is σ = 1931973120. Its totient is φ = 132523776.

The previous prime is 535128073. The next prime is 535128131. The reversal of 535128120 is 21821535.

It is a happy number.

535128120 is a `hidden beast` number, since 53 + 512 + 81 + 20 = 666.

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 79 ways as a sum of consecutive naturals, for example, 3204277 + ... + 3204443.

It is an arithmetic number, because the mean of its divisors is an integer number (6037416).

Almost surely, 2^535128120 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 535128120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965986560).

535128120 is an abundant number, since it is smaller than the sum of its proper divisors (1396845000).

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

535128120 is a wasteful number, since it uses less digits than its factorization.

535128120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 535128120 is about 23132.8364019633. The cubic root of 535128120 is about 811.8689354656.

Adding to 535128120 its reverse (21821535), we get a palindrome (556949655).

The spelling of 535128120 in words is "five hundred thirty-five million, one hundred twenty-eight thousand, one hundred twenty".