33428831040 has 1008 divisors, whose sum is σ = 137682305280. Its totient is φ = 7375380480.

The previous prime is 33428830973. The next prime is 33428831041. The reversal of 33428831040 is 4013882433.

It is a happy number.

33428831040 is a `hidden beast` number, since 334 + 2 + 8 + 8 + 310 + 4 + 0 = 666.

It is a super-2 number, since 2×33428831040² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 33428830986 and 33428831004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33428831041) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 423149721 + ... + 423149799.

Almost surely, 2^33428831040 is an apocalyptic number.

33428831040 is a gapful number since it is divisible by the number (30) 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 33428831040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68841152640).

33428831040 is an abundant number, since it is smaller than the sum of its proper divisors (104253474240).

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

33428831040 is a wasteful number, since it uses less digits than its factorization.

33428831040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

It can be divided in two parts, 33428 and 831040, that added together give a palindrome (864468).

The spelling of 33428831040 in words is "thirty-three billion, four hundred twenty-eight million, eight hundred thirty-one thousand, forty".