133883928 has 80 divisors (see below), whose sum is σ = 376779480. Its totient is φ = 44416512.

The previous prime is 133883927. The next prime is 133883929. The reversal of 133883928 is 829388331.

It is an interprime number because it is at equal distance from previous prime (133883927) and next prime (133883929).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133883927) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 198600 + ... + 199272.

Almost surely, 2^133883928 is an apocalyptic number.

133883928 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 133883928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188389740).

133883928 is an abundant number, since it is smaller than the sum of its proper divisors (242895552).

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

133883928 is a wasteful number, since it uses less digits than its factorization.

133883928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 985 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 133883928 is about 11570.8222698303. The cubic root of 133883928 is about 511.5751989955.

The spelling of 133883928 in words is "one hundred thirty-three million, eight hundred eighty-three thousand, nine hundred twenty-eight".