535128000 has 224 divisors, whose sum is σ = 1928579328. Its totient is φ = 129664000.

The previous prime is 535127977. The next prime is 535128007. The reversal of 535128000 is 821535.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (535128007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 262987 + ... + 265013.

Almost surely, 2^535128000 is an apocalyptic number.

535128000 is a gapful number since it is divisible by the number (50) 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 535128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964289664).

535128000 is an abundant number, since it is smaller than the sum of its proper divisors (1393451328).

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

535128000 is a wasteful number, since it uses less digits than its factorization.

535128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2068 (or 2048 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 535128000 is about 23132.8338082475. The cubic root of 535128000 is about 811.8688747796.

Adding to 535128000 its reverse (821535), we get a palindrome (535949535).

The spelling of 535128000 in words is "five hundred thirty-five million, one hundred twenty-eight thousand".