5428005624 has 96 divisors (see below), whose sum is σ = 14925577680. Its totient is φ = 1781885952.

The previous prime is 5428005619. The next prime is 5428005629. The reversal of 5428005624 is 4265008245.

It is a happy number.

5428005624 is a `hidden beast` number, since 5 + 4 + 28 + 0 + 0 + 5 + 624 = 666.

It is a Cunningham number, because it is equal to 73675²-1.

It is an interprime number because it is at equal distance from previous prime (5428005619) and next prime (5428005629).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5428005629) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1324122 + ... + 1328214.

Almost surely, 2^5428005624 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 5428005624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7462788840).

5428005624 is an abundant number, since it is smaller than the sum of its proper divisors (9497572056).

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

5428005624 is a wasteful number, since it uses less digits than its factorization.

5428005624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4381 (or 4374 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 5428005624 is about 73674.9999932134. Note that the first 5 decimals coincide. The cubic root of 5428005624 is about 1757.4383385926.

The spelling of 5428005624 in words is "five billion, four hundred twenty-eight million, five thousand, six hundred twenty-four".