1504538028 has 144 divisors (see below), whose sum is σ = 4607715840. Its totient is φ = 404352000.

The previous prime is 1504538027. The next prime is 1504538033. The reversal of 1504538028 is 8208354051.

It is a happy number.

1504538028 is a `hidden beast` number, since 1 + 504 + 53 + 80 + 28 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1504537983 and 1504538001.

It is not an unprimeable number, because it can be changed into a prime (1504538027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 721948 + ... + 724028.

Almost surely, 2^1504538028 is an apocalyptic number.

1504538028 is a gapful number since it is divisible by the number (18) 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 1504538028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2303857920).

1504538028 is an abundant number, since it is smaller than the sum of its proper divisors (3103177812).

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

1504538028 is a wasteful number, since it uses less digits than its factorization.

1504538028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2268 (or 2263 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 1504538028 is about 38788.3749079541. The cubic root of 1504538028 is about 1145.8674682039.

The spelling of 1504538028 in words is "one billion, five hundred four million, five hundred thirty-eight thousand, twenty-eight".