1504247328 has 192 divisors, whose sum is σ = 4727923200. Its totient is φ = 463760640.

The previous prime is 1504247273. The next prime is 1504247389. The reversal of 1504247328 is 8237424051.

It is a happy number.

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 = 1504247292 and 1504247301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 704823 + ... + 706953.

It is an arithmetic number, because the mean of its divisors is an integer number (24624600).

Almost surely, 2^1504247328 is an apocalyptic number.

1504247328 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 1504247328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2363961600).

1504247328 is an abundant number, since it is smaller than the sum of its proper divisors (3223675872).

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

1504247328 is a wasteful number, since it uses less digits than its factorization.

1504247328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2212 (or 2198 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 1504247328 is about 38784.6274701717. The cubic root of 1504247328 is about 1145.7936636821.

It can be divided in two parts, 1504 and 247328, that added together give a 5-th power (248832 = 12⁵).

The spelling of 1504247328 in words is "one billion, five hundred four million, two hundred forty-seven thousand, three hundred twenty-eight".