428864040 has 192 divisors, whose sum is σ = 1562146560. Its totient is φ = 101122560.

The previous prime is 428864021. The next prime is 428864057. The reversal of 428864040 is 40468824.

428864040 is a `hidden beast` number, since 4 + 2 + 8 + 8 + 640 + 4 + 0 = 666.

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 = 428863986 and 428864004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145057 + ... + 147983.

It is an arithmetic number, because the mean of its divisors is an integer number (8136180).

Almost surely, 2^428864040 is an apocalyptic number.

428864040 is a gapful number since it is divisible by the number (40) 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 428864040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781073280).

428864040 is an abundant number, since it is smaller than the sum of its proper divisors (1133282520).

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

428864040 is a wasteful number, since it uses less digits than its factorization.

428864040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2992 (or 2985 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 428864040 is about 20709.0328117950. The cubic root of 428864040 is about 754.1189904777.

It can be divided in two parts, 428 and 864040, that added together give a palindrome (864468).

The spelling of 428864040 in words is "four hundred twenty-eight million, eight hundred sixty-four thousand, forty".