438280128 has 336 divisors, whose sum is σ = 1567683936. Its totient is φ = 115015680.

The previous prime is 438280109. The next prime is 438280147. The reversal of 438280128 is 821082834.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (438280109) and next prime (438280147).

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 = 438280092 and 438280101.

It is a congruent number.

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, 1400100 + ... + 1400412.

It is an arithmetic number, because the mean of its divisors is an integer number (4665726).

Almost surely, 2^438280128 is an apocalyptic number.

438280128 is a gapful number since it is divisible by the number (48) 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 438280128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783841968).

438280128 is an abundant number, since it is smaller than the sum of its proper divisors (1129403808).

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

438280128 is a wasteful number, since it uses less digits than its factorization.

438280128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 438280128 is about 20935.1409835234. The cubic root of 438280128 is about 759.5981994305.

The spelling of 438280128 in words is "four hundred thirty-eight million, two hundred eighty thousand, one hundred twenty-eight".