1504146828 has 96 divisors (see below), whose sum is σ = 3800079360. Its totient is φ = 462031360.

The previous prime is 1504146827. The next prime is 1504146863. The reversal of 1504146828 is 8286414051.

It is not an unprimeable number, because it can be changed into a prime (1504146827) 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, 669475 + ... + 671717.

It is an arithmetic number, because the mean of its divisors is an integer number (39584160).

Almost surely, 2^1504146828 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 1504146828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1900039680).

1504146828 is an abundant number, since it is smaller than the sum of its proper divisors (2295932532).

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

1504146828 is a wasteful number, since it uses less digits than its factorization.

1504146828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2367 (or 2365 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 1504146828 is about 38783.3318321157. The cubic root of 1504146828 is about 1145.7681459751.

The spelling of 1504146828 in words is "one billion, five hundred four million, one hundred forty-six thousand, eight hundred twenty-eight".