7462728 has 192 divisors, whose sum is σ = 26732160. Its totient is φ = 1824768.

The previous prime is 7462727. The next prime is 7462747. The reversal of 7462728 is 8272647.

7462728 is a `hidden beast` number, since 7 + 4 + 627 + 28 = 666.

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 an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 7462692 and 7462701.

It is not an unprimeable number, because it can be changed into a prime (7462727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111351 + ... + 111417.

It is an arithmetic number, because the mean of its divisors is an integer number (139230).

Almost surely, 2^7462728 is an apocalyptic number.

7462728 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7462728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13366080).

7462728 is an abundant number, since it is smaller than the sum of its proper divisors (19269432).

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

7462728 is a wasteful number, since it uses less digits than its factorization.

7462728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 109 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 7462728 is about 2731.7994069843. The cubic root of 7462728 is about 195.4185879934.

The spelling of 7462728 in words is "seven million, four hundred sixty-two thousand, seven hundred twenty-eight".