193428480 has 264 divisors, whose sum is σ = 722476368. Its totient is φ = 44040192.

The previous prime is 193428479. The next prime is 193428497. The reversal of 193428480 is 84824391.

It is a super-2 number, since 2×193428480² = 74829153750220800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 752512 + ... + 752768.

Almost surely, 2^193428480 is an apocalyptic number.

193428480 is a gapful number since it is divisible by the number (10) 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 193428480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361238184).

193428480 is an abundant number, since it is smaller than the sum of its proper divisors (529047888).

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

193428480 is a wasteful number, since it uses less digits than its factorization.

193428480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 193428480 is about 13907.8567723427. The cubic root of 193428480 is about 578.3270061254.

The spelling of 193428480 in words is "one hundred ninety-three million, four hundred twenty-eight thousand, four hundred eighty".