36928260 has 36 divisors (see below), whose sum is σ = 112016268. Its totient is φ = 9847488.

The previous prime is 36928253. The next prime is 36928261. The reversal of 36928260 is 6282963.

It can be written as a sum of positive squares in 2 ways, for example, as 23794884 + 13133376 = 4878^2 + 3624^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×36928260³ (a number of 24 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (36928261) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102399 + ... + 102758.

It is an arithmetic number, because the mean of its divisors is an integer number (3111563).

Almost surely, 2^36928260 is an apocalyptic number.

36928260 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36928260 is an abundant number, since it is smaller than the sum of its proper divisors (75088008).

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

36928260 is a wasteful number, since it uses less digits than its factorization.

36928260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205172 (or 205167 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 36928260 is about 6076.8626774019. The cubic root of 36928260 is about 333.0066822239.

The spelling of 36928260 in words is "thirty-six million, nine hundred twenty-eight thousand, two hundred sixty".