404432028 has 480 divisors, whose sum is σ = 1502645760. Its totient is φ = 91445760.

The previous prime is 404432027. The next prime is 404432051. The reversal of 404432028 is 820234404.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 404431992 and 404432010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404432027) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9405375 + ... + 9405417.

It is an arithmetic number, because the mean of its divisors is an integer number (3130512).

Almost surely, 2^404432028 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 404432028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751322880).

404432028 is an abundant number, since it is smaller than the sum of its proper divisors (1098213732).

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

404432028 is a wasteful number, since it uses less digits than its factorization.

404432028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 404432028 is about 20110.4954687845. The cubic root of 404432028 is about 739.5175989130.

The spelling of 404432028 in words is "four hundred four million, four hundred thirty-two thousand, twenty-eight".