193484928 has 256 divisors, whose sum is σ = 651168000. Its totient is φ = 50577408.

The previous prime is 193484917. The next prime is 193484953. The reversal of 193484928 is 829484391.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1712200 + ... + 1712312.

It is an arithmetic number, because the mean of its divisors is an integer number (2543625).

Almost surely, 2^193484928 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 193484928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325584000).

193484928 is an abundant number, since it is smaller than the sum of its proper divisors (457683072).

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

193484928 is a wasteful number, since it uses less digits than its factorization.

193484928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 138 counting only the distinct ones).

The product of its digits is 497664, while the sum is 48.

The square root of 193484928 is about 13909.8859808411. The cubic root of 193484928 is about 578.3832581446.

The spelling of 193484928 in words is "one hundred ninety-three million, four hundred eighty-four thousand, nine hundred twenty-eight".