428649408 has 140 divisors (see below), whose sum is σ = 1386349272. Its totient is φ = 129876480.

The previous prime is 428649359. The next prime is 428649409. The reversal of 428649408 is 804946824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428649409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 53266 + ... + 60782.

Almost surely, 2^428649408 is an apocalyptic number.

428649408 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 428649408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693174636).

428649408 is an abundant number, since it is smaller than the sum of its proper divisors (957699864).

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

428649408 is a wasteful number, since it uses less digits than its factorization.

428649408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7552 (or 7533 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 428649408 is about 20703.8500767369. The cubic root of 428649408 is about 753.9931657710.

The spelling of 428649408 in words is "four hundred twenty-eight million, six hundred forty-nine thousand, four hundred eight".