428043264 has 176 divisors, whose sum is σ = 1273397760. Its totient is φ = 126730240.

The previous prime is 428043263. The next prime is 428043281. The reversal of 428043264 is 462340824.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428043263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1790857 + ... + 1791095.

Almost surely, 2^428043264 is an apocalyptic number.

428043264 is a gapful number since it is divisible by the number (44) 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 428043264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636698880).

428043264 is an abundant number, since it is smaller than the sum of its proper divisors (845354496).

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

428043264 is a wasteful number, since it uses less digits than its factorization.

428043264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The square root of 428043264 is about 20689.2064613411. The cubic root of 428043264 is about 753.6375962239.

The spelling of 428043264 in words is "four hundred twenty-eight million, forty-three thousand, two hundred sixty-four".