1032012104928 has 192 divisors, whose sum is σ = 3150547384320. Its totient is φ = 289675556352.

The previous prime is 1032012104927. The next prime is 1032012104951. The reversal of 1032012104928 is 8294012102301.

It is a super-3 number, since 3×1032012104928³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032012104927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68305951 + ... + 68321057.

It is an arithmetic number, because the mean of its divisors is an integer number (16409100960).

Almost surely, 2^{1032012104928} 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 1032012104928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575273692160).

1032012104928 is an abundant number, since it is smaller than the sum of its proper divisors (2118535279392).

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

1032012104928 is a wasteful number, since it uses less digits than its factorization.

1032012104928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16909 (or 16901 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 1032012104928 in words is "one trillion, thirty-two billion, twelve million, one hundred four thousand, nine hundred twenty-eight".