428626824 has 64 divisors (see below), whose sum is σ = 1092000000. Its totient is φ = 140175360.

The previous prime is 428626823. The next prime is 428626837.

428626824 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (428626823) 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, 342552 + ... + 343800.

It is an arithmetic number, because the mean of its divisors is an integer number (17062500).

Almost surely, 2^428626824 is an apocalyptic number.

It is an amenable number.

428626824 is an abundant number, since it is smaller than the sum of its proper divisors (663373176).

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

428626824 is a wasteful number, since it uses less digits than its factorization.

428626824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1518 (or 1514 counting only the distinct ones).

The product of its digits is 294912, while the sum is 42.

The square root of 428626824 is about 20703.3046637487. The cubic root of 428626824 is about 753.9799238065.

The spelling of 428626824 in words is "four hundred twenty-eight million, six hundred twenty-six thousand, eight hundred twenty-four".