1032212982528 has 1152 divisors, whose sum is σ = 3881703168000. Its totient is φ = 268826148864.

The previous prime is 1032212982499. The next prime is 1032212982557. The reversal of 1032212982528 is 8252892122301.

1032212982528 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 21 + 29 + 82 + 528 = 666.

It is an interprime number because it is at equal distance from previous prime (1032212982499) and next prime (1032212982557).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3297804900 + ... + 3297805212.

It is an arithmetic number, because the mean of its divisors is an integer number (3369534000).

Almost surely, 2^{1032212982528} is an apocalyptic number.

1032212982528 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 1032212982528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1940851584000).

1032212982528 is an abundant number, since it is smaller than the sum of its proper divisors (2849490185472).

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

1032212982528 is a wasteful number, since it uses less digits than its factorization.

1032212982528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 1032212982528 in words is "one trillion, thirty-two billion, two hundred twelve million, nine hundred eighty-two thousand, five hundred twenty-eight".