537101028 has 72 divisors (see below), whose sum is σ = 1409079672. Its totient is φ = 172357632.

The previous prime is 537101021. The next prime is 537101039. The reversal of 537101028 is 820101735.

537101028 is a `hidden beast` number, since 537 + 101 + 0 + 28 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 157552704 + 379548324 = 12552^2 + 19482^2 .

It is a junction number, because it is equal to n+sod(n) for n = 537100992 and 537101010.

It is not an unprimeable number, because it can be changed into a prime (537101021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127126 + ... + 131282.

It is an arithmetic number, because the mean of its divisors is an integer number (19570551).

Almost surely, 2^537101028 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 537101028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704539836).

537101028 is an abundant number, since it is smaller than the sum of its proper divisors (871978644).

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

537101028 is a wasteful number, since it uses less digits than its factorization.

537101028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4301 (or 4296 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 537101028 is about 23175.4401899942. The cubic root of 537101028 is about 812.8654434339.

The spelling of 537101028 in words is "five hundred thirty-seven million, one hundred one thousand, twenty-eight".