7428102084 has 120 divisors (see below), whose sum is σ = 21129011288. Its totient is φ = 2261882880.

The previous prime is 7428102053. The next prime is 7428102089. The reversal of 7428102084 is 4802018247.

It can be written as a sum of positive squares in 4 ways, for example, as 1423401984 + 6004700100 = 37728^2 + 77490^2 .

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

It is not an unprimeable number, because it can be changed into a prime (7428102089) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 399474 + ... + 417654.

Almost surely, 2^7428102084 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 7428102084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10564505644).

7428102084 is an abundant number, since it is smaller than the sum of its proper divisors (13700909204).

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

7428102084 is a wasteful number, since it uses less digits than its factorization.

7428102084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18307 (or 18296 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 7428102084 is about 86186.4379354432. The cubic root of 7428102084 is about 1951.1588189091.

The spelling of 7428102084 in words is "seven billion, four hundred twenty-eight million, one hundred two thousand, eighty-four".