39428980 has 48 divisors (see below), whose sum is σ = 86400720. Its totient is φ = 15095808.

The previous prime is 39428957. The next prime is 39429017. The reversal of 39428980 is 8982493.

It is a happy number.

39428980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 5626384 + 33802596 = 2372^2 + 5814^2 .

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 90844 + ... + 91276.

It is an arithmetic number, because the mean of its divisors is an integer number (1800015).

Almost surely, 2^39428980 is an apocalyptic number.

39428980 is the 3140-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39428980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43200360).

39428980 is an abundant number, since it is smaller than the sum of its proper divisors (46971740).

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

39428980 is a wasteful number, since it uses less digits than its factorization.

39428980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The square root of 39428980 is about 6279.2499552096. The cubic root of 39428980 is about 340.3599993133.

It can be divided in two parts, 39 and 428980, that multiplied together give a triangular number (16730220 = T₅₇₈₄).

The spelling of 39428980 in words is "thirty-nine million, four hundred twenty-eight thousand, nine hundred eighty".