428053248 has 216 divisors, whose sum is σ = 1464223488. Its totient is φ = 122176512.

The previous prime is 428053211. The next prime is 428053273. The reversal of 428053248 is 842350824.

428053248 is a `hidden beast` number, since 4 + 2 + 80 + 532 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 434965 + ... + 435947.

Almost surely, 2^428053248 is an apocalyptic number.

428053248 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 428053248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732111744).

428053248 is an abundant number, since it is smaller than the sum of its proper divisors (1036170240).

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

428053248 is an frugal number, since it uses more digits than its factorization.

428053248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 428053248 is about 20689.4477451671. The cubic root of 428053248 is about 753.6434556466.

The spelling of 428053248 in words is "four hundred twenty-eight million, fifty-three thousand, two hundred forty-eight".