407028003228 has 576 divisors, whose sum is σ = 1367601930240. Its totient is φ = 98985369600.

The previous prime is 407028003211. The next prime is 407028003229. The reversal of 407028003228 is 822300820704.

407028003228 is a `hidden beast` number, since 407 + 0 + 28 + 0 + 0 + 3 + 228 = 666.

407028003228 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

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 = 407028003192 and 407028003201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407028003229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 995178288 + ... + 995178696.

Almost surely, 2^407028003228 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 407028003228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683800965120).

407028003228 is an abundant number, since it is smaller than the sum of its proper divisors (960573927012).

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

407028003228 is a wasteful number, since it uses less digits than its factorization.

407028003228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 407028003228 in words is "four hundred seven billion, twenty-eight million, three thousand, two hundred twenty-eight".