1528118928 has 240 divisors, whose sum is σ = 5220042880. Its totient is φ = 407586816.

The previous prime is 1528118923. The next prime is 1528118959. The reversal of 1528118928 is 8298118251.

1528118928 is a `hidden beast` number, since 1 + 528 + 118 + 9 + 2 + 8 = 666.

It is a super-2 number, since 2×1528118928² = 4670294916223738368, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1528118923) 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, 1397550 + ... + 1398642.

Almost surely, 2^1528118928 is an apocalyptic number.

1528118928 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 1528118928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2610021440).

1528118928 is an abundant number, since it is smaller than the sum of its proper divisors (3691923952).

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

1528118928 is a wasteful number, since it uses less digits than its factorization.

1528118928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 1197 counting only the distinct ones).

The product of its digits is 92160, while the sum is 45.

The square root of 1528118928 is about 39091.1617632426. The cubic root of 1528118928 is about 1151.8229256189.

The spelling of 1528118928 in words is "one billion, five hundred twenty-eight million, one hundred eighteen thousand, nine hundred twenty-eight".