404283528 has 128 divisors (see below), whose sum is σ = 1297296000. Its totient is φ = 115292160.

The previous prime is 404283499. The next prime is 404283547. The reversal of 404283528 is 825382404.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 404283492 and 404283501.

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, 35388 + ... + 45396.

It is an arithmetic number, because the mean of its divisors is an integer number (10135125).

Almost surely, 2^404283528 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 404283528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648648000).

404283528 is an abundant number, since it is smaller than the sum of its proper divisors (893012472).

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

404283528 is a wasteful number, since it uses less digits than its factorization.

404283528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10052 (or 10042 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 404283528 is about 20106.8030278312. The cubic root of 404283528 is about 739.4270754136.

It can be divided in two parts, 40428 and 3528, that added together give a triangular number (43956 = T₂₉₆).

The spelling of 404283528 in words is "four hundred four million, two hundred eighty-three thousand, five hundred twenty-eight".