536129280 has 180 divisors, whose sum is σ = 1918739592. Its totient is φ = 142940160.

The previous prime is 536129273. The next prime is 536129299. The reversal of 536129280 is 82921635.

536129280 is a `hidden beast` number, since 5 + 361 + 292 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 101095 + ... + 106265.

Almost surely, 2^536129280 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 536129280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959369796).

536129280 is an abundant number, since it is smaller than the sum of its proper divisors (1382610312).

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

536129280 is an equidigital number, since it uses as much as digits as its factorization.

536129280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5204 (or 5181 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 536129280 is about 23154.4656599974. The cubic root of 536129280 is about 812.3749229161.

The spelling of 536129280 in words is "five hundred thirty-six million, one hundred twenty-nine thousand, two hundred eighty".