1428138624 has 128 divisors (see below), whose sum is σ = 4161600000. Its totient is φ = 430341120.

The previous prime is 1428138623. The next prime is 1428138631. The reversal of 1428138624 is 4268318241.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1428138624² = 4079159858721226752, which contains 22 as substring.

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 (1428138623) 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, 839727 + ... + 841425.

It is an arithmetic number, because the mean of its divisors is an integer number (32512500).

Almost surely, 2^1428138624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1428138624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2080800000).

1428138624 is an abundant number, since it is smaller than the sum of its proper divisors (2733461376).

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

1428138624 is a wasteful number, since it uses less digits than its factorization.

1428138624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1926 (or 1914 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 1428138624 is about 37790.7214008942. The cubic root of 1428138624 is about 1126.1341317350.

The spelling of 1428138624 in words is "one billion, four hundred twenty-eight million, one hundred thirty-eight thousand, six hundred twenty-four".