128463408 has 240 divisors, whose sum is σ = 411640320. Its totient is φ = 38631168.

The previous prime is 128463347. The next prime is 128463409. The reversal of 128463408 is 804364821.

128463408 is a `hidden beast` number, since 12 + 8 + 4 + 634 + 0 + 8 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (128463409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2733241 + ... + 2733287.

It is an arithmetic number, because the mean of its divisors is an integer number (1715168).

Almost surely, 2^128463408 is an apocalyptic number.

128463408 is a gapful number since it is divisible by the number (18) 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 128463408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205820160).

128463408 is an abundant number, since it is smaller than the sum of its proper divisors (283176912).

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

128463408 is a wasteful number, since it uses less digits than its factorization.

128463408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 128463408 is about 11334.1699299066. The cubic root of 128463408 is about 504.5758723676.

The spelling of 128463408 in words is "one hundred twenty-eight million, four hundred sixty-three thousand, four hundred eight".