428323824 has 60 divisors (see below), whose sum is σ = 1213187976. Its totient is φ = 141050496.

The previous prime is 428323813. The next prime is 428323867.

It is a happy number.

428323824 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×428323824² = 366922596411965952, which contains 22 as substring.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5967 + ... + 29870.

Almost surely, 2^428323824 is an apocalyptic number.

It is an amenable number.

428323824 is an abundant number, since it is smaller than the sum of its proper divisors (784864152).

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

428323824 is a wasteful number, since it uses less digits than its factorization.

428323824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35934 (or 35925 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 428323824 is about 20695.9856977144. The cubic root of 428323824 is about 753.8022169546.

It can be divided in two parts, 42832 and 3824, that added together give a 6-th power (46656 = 6⁶).

The spelling of 428323824 in words is "four hundred twenty-eight million, three hundred twenty-three thousand, eight hundred twenty-four".