428088480 has 48 divisors (see below), whose sum is σ = 1348480224. Its totient is φ = 114156800.

The previous prime is 428088469. The next prime is 428088499. The reversal of 428088480 is 84880824.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 445446 + ... + 446405.

It is an arithmetic number, because the mean of its divisors is an integer number (28093338).

Almost surely, 2^428088480 is an apocalyptic number.

428088480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

428088480 is an abundant number, since it is smaller than the sum of its proper divisors (920391744).

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

428088480 is a wasteful number, since it uses less digits than its factorization.

428088480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891869 (or 891861 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 42.

The square root of 428088480 is about 20690.2991761840. The cubic root of 428088480 is about 753.6641319198.

The spelling of 428088480 in words is "four hundred twenty-eight million, eighty-eight thousand, four hundred eighty".