1012528384 has 72 divisors (see below), whose sum is σ = 2372413568. Its totient is φ = 422184960.

The previous prime is 1012528261. The next prime is 1012528399. The reversal of 1012528384 is 4838252101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58669 + ... + 73939.

Almost surely, 2^1012528384 is an apocalyptic number.

1012528384 is a gapful number since it is divisible by the number (14) 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 1012528384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186206784).

1012528384 is an abundant number, since it is smaller than the sum of its proper divisors (1359885184).

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

1012528384 is an equidigital number, since it uses as much as digits as its factorization.

1012528384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15331 (or 15317 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 1012528384 is about 31820.2511617995. The cubic root of 1012528384 is about 1004.1588083367.

The spelling of 1012528384 in words is "one billion, twelve million, five hundred twenty-eight thousand, three hundred eighty-four".