5033428088832 has 1152 divisors, whose sum is σ = 17885815234560. Its totient is φ = 1343029248000.

The previous prime is 5033428088729. The next prime is 5033428088833. The reversal of 5033428088832 is 2388808243305.

5033428088832 is a `hidden beast` number, since 503 + 3 + 4 + 28 + 0 + 8 + 88 + 32 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5033428088833) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5079139857 + ... + 5079140847.

It is an arithmetic number, because the mean of its divisors is an integer number (15525881280).

Almost surely, 2^{5033428088832} is an apocalyptic number.

5033428088832 is a gapful number since it is divisible by the number (52) 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 5033428088832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8942907617280).

5033428088832 is an abundant number, since it is smaller than the sum of its proper divisors (12852387145728).

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

5033428088832 is a wasteful number, since it uses less digits than its factorization.

5033428088832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 5033428088832 in words is "five trillion, thirty-three billion, four hundred twenty-eight million, eighty-eight thousand, eight hundred thirty-two".