189279552 has 336 divisors, whose sum is σ = 667146240. Its totient is φ = 46771200.

The previous prime is 189279533. The next prime is 189279553. The reversal of 189279552 is 255972981.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×189279552³ (a number of 26 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189279553) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3208099 + ... + 3208157.

Almost surely, 2^189279552 is an apocalyptic number.

189279552 is a gapful number since it is divisible by the number (12) 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 189279552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333573120).

189279552 is an abundant number, since it is smaller than the sum of its proper divisors (477866688).

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

189279552 is a wasteful number, since it uses less digits than its factorization.

189279552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 113 counting only the distinct ones).

The product of its digits is 453600, while the sum is 48.

The square root of 189279552 is about 13757.8905359797. The cubic root of 189279552 is about 574.1621592212.

The spelling of 189279552 in words is "one hundred eighty-nine million, two hundred seventy-nine thousand, five hundred fifty-two".