1528408728 has 192 divisors, whose sum is σ = 5301054720. Its totient is φ = 386208000.

The previous prime is 1528408711. The next prime is 1528408751. The reversal of 1528408728 is 8278048251.

It is a happy number.

1528408728 is a `hidden beast` number, since 1 + 528 + 40 + 87 + 2 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 201403 + ... + 208853.

It is an arithmetic number, because the mean of its divisors is an integer number (27609660).

Almost surely, 2^1528408728 is an apocalyptic number.

1528408728 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 1528408728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2650527360).

1528408728 is an abundant number, since it is smaller than the sum of its proper divisors (3772645992).

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

1528408728 is a wasteful number, since it uses less digits than its factorization.

1528408728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7518 (or 7511 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The square root of 1528408728 is about 39094.8683077460. The cubic root of 1528408728 is about 1151.8957334741.

The spelling of 1528408728 in words is "one billion, five hundred twenty-eight million, four hundred eight thousand, seven hundred twenty-eight".